Muktol

"Mentor of the Meek" is not a really good choice here. If you have 1 "Honor of the Pure" on the field only "Boros Elite" and "Champion of the Parish" will trigger the effect, with 2, nothing will.
I would also just use 2 "Path to Exile" and 2 "Oblivion Ring". The free slots could be filled with "Bonds of Faith" or "Call to Serve" (Flying doublestrikers are really bad news for your enemy ;) )

The question is, what do you want to cast when "Cast Through Time" is on the table?

I play "Chronozoa" as a second win- option in a similar Deck. It also serves as counter-safe, and those can easily be moved with "Power Conduit".
http://www.mtgvault.com/muktol/decks/counter-transfer/

Creatures:
I would change from "Crosstown Courier" to "Shriekgeist". The spirit hast evasion and it is far more likely that he can really deal damage to your enemy and thus mill him. If the attacking creatures have some sort of evasion, you could also remove "Tricks of the Trade"
Think of removing all "Consuming Aberration" for one more "Mirko Vosk, Mind Drinker". With the free spaces you could up "Jace's Phantasm" to 4 and "Duskmantle Guildmage" to 3, or add 3 "Wight of Precinct Six".
Planeswalkers:
Decide either for Jace or Lilian and remove the other one, in a mill deck I would prefer Jace
Sorcerys/ Instants:
I would remove "Grisly Spectacle", you normally don't want to keep 4 Mana unused in your pool. Use the free place to up the number of "Dimir Charm" to 4 .
"Mind Grind" will be of to little use with only 20 Lands, and you got yourself better alternatives. Use the free slots to up "Mind Sculpt" and "Pilfered Plans" to 4, or think of adding "Dream Twist" instead.
I have no experience with "Reap Intellect" but it seems awfully expensive. Effective for sure, but expensive. 5 mana for 4 cards, 6 mana for 8 is expensive. You could remove annoying cards from your enemy's hand, but this spell comes T5+ without ramp and normally your enemy wont have that many cards on his hand left, the dangerous pieces will be allready on the board.
Lands:
I would remove 3 standard lands for "Nephalia Drownyard". It is a You can mill your enemy, even you are in topdeck modus and the chance of drawing the right card is small.

I Changed some things recently:
Mainboard
-1 "Bloodmark Mentor" (I don't want to have 2 of them in my hand)
+1 "Furystoke Giant" (Finisher, combined with "Goblin Chieftain" and "Krenko, Mob Boss" he can be really ugly ;) )

Sideboard:
+2 Zo-Zu the Punisher (Thanks to patzebat and his goblindeck)
+4 Vexing Shusher

"Quest for the Goblin Lord" is a nice piece of enchantment for goblins. It also works very well with "Mogg War Marshal"
You could also think of "Goblin Lackey" (Not modern legal) or "Warren Instigator". Combined with "Infiltration Lens" they can make your enemy sweat: Block and let you draw card (and normaly loose a creature due to doublestrike) or don't block and risk 2 goblins for free on the field.
You could also try to reduce the number of mountains to 18-20. The mana curve of this deck is pretty low, so it should work.
As finisher I personally use "Furystoke Giant" on my goblin Deck

Why not keep in mono-red?
e.g. http://www.mtgvault.com/muktol/decks/r-burn/

It's worth a try. I'm using 16 Lands in my burndeck ;)
http://www.mtgvault.com/muktol/decks/r-burn/

With so many cc1 spells you can think of reducing the number of mountains to 18. But you'll have to test this carefully.

I also played around with the idea of forming a deck around "Drogskol Captain", the main disadvantage is, that it is to slow against common modern or standard decks. But perhaps some of my Ideas will help you:
As cheap spirits I used "Spectral Rider"(Intimidate), "Kaijin of the Vanishing Touch"(Bounces blocked creatures back on hand) or "Lantern Kami"(Cheap and flying). The rider is also a great creature to carry "Inquisitor's Flail" to your enemy. "Rushing-Tide Zubera" is a good blocker and a nice choice for carddraw.
As support I used the following instants/ sorcerys/ equipments: "Skillful Lunge"(Buff), "Inquisitor's Flail"(Damage), "Spell Pierce"(Counterspell), "Mana Tithe"(Counterspell) and "Otherworldly Journey"(Protection and buff).

Ultimately I splashed green to get access to some other spirits, but that is not really a good choice for a budget deck

Our local dealer wants 2€ for one Wall of Denial, on other platforms it ranges from 0,15€ to 0,5€ ;)

http://www.wizards.com/magic/tcg/resources.aspx?x=judge/resources/sfrmodern

http://www.wizards.com/magic/magazine/article.aspx?x=judge/resources/sfrlegacy
"Legacy decks may consist of cards from all Magic card sets, any edition of the core set, and all special sets, supplements, and promotional printings released by Wizards of the Coast."

My Goblin deck locks like this:
http://www.mtgvault.com/muktol/decks/r-tribal-goblins/
I would change "Boggart Ram-Gang" to "Goblin Wardriver" and "Shrine of Burning Rage" to Quest for the Goblin Lord"

I would change from "Guard Gomazoa" to "Wall of Denial". The jellyfish can be pretty easily killed by a bolt, the wall should hold out longer. Backdraw of the wall is, that it's mana costs are more complicated
I would also up the number of "Perimeter Captain" and "Doorkeeper" to 4, as they are your main tactic to win.
"Curse of the Bloody Tome" is normally to slow with it's milling, i don't know i it works well in this deck. If you want to handicap your enemy, try "Chronic Flooding"
Also good walls/defenders are "Wall of Omens" (Carddraw), "Wall of Tanglecord" (Strong & possible reach) and "Steel Wall" (Cheap)

Keep her in the deck and try it out, that's the best way to see if there are cards that you don't like or never are able to play.
Let's do a little calculation: Chandra costs cc6, so I would say that you can play her in T8+.
You can activate her +1 or -2 ability once for sure, your enemy can't do something against that (As long as he wont counter the Chandra spell). So yo get to discard the enemys hand and draw 3 cards or 4dmg for 6 mana for sure.
Planeswalkers are the best targets to attack that there are in the whole game, so your enemy will do what he can to kill your Chandra. Normally you don't have enough creatures and simply don't want to waste your spell on enemy creatures, so She will have gone the next turn.
What did she then ultimately do? Discard the enemys hand and draw 3 cards or 4dmg on your enemy, and bought you a turn. Not really good for a cc6 which is normally supposed to win the game.

What I would do:
- 4 Boggart Ram-Gang: The 'Wither' ability is of no great use here
- 2-4 Mountains: I'm normally trying to build decks with a manabase of 20 lands, but when the most cards won't cost more than cc2 I would try it with 18 Lands. They can still be increased if it wont work.
- 1 Krenko, Mob Boss: Down to 3, you'll never want to have 2 of him in you hand

3-4 Infiltration Lens: For Carddraw
+ 1 Goblin Chieftain: Up to 4, yo will need him
4 Goblin Wardriver: 2/2 and Warcry
4 Mogg War Marshal: Produces 2 tokens and works very well with "Quest for the Goblin Lord"
2 Siege-Gang Commander: Better than "Beetleback Chief". The mana costs are irrelevant here, as you never want to hardcast them
+ 1-2 Spikeshot Elder: His abbility is expensive but works well with everything that pushes power..."Quest for the Goblin Lord", "Goblin Chieftain" and "Goblin Wardriver"
4 Warren Instigator: Best goblin there is aside from "Goblin Lackey". Move all 4 from sideboard to mainboard
+ 4 Quest for the Goblin Lord: Pushes all creatures you control

I have no experience with "Riot Piker", but personally I don't like creatures that say 'Has to attack every turn'

You'll have to experiment a little to bring the deck down to 60 cards.

Thanks for the advise, I changed from "Living Hive" to "Khalni Hydra" :)

Ticklyfish do you allready have your U/W Mill in the database? I love white and I would really be interested in seeing how this works. :)

I have built a similar deck for one of my friends, and he is very successful.
Take a look at
http://www.mtgvault.com/muktol/decks/r-tribal-goblins/
and feel free to ask if you need some help.

Personally I wouldn't put cards more exoensive than cc3 into a burndeck, and even the cc3 have to be real matchwinners
"Cinder Pyromancer": My stomach says that it is to expensive and does to little, but i have to admit that i have little expirience with this card
"Furnace of Rath": Costs to much to be of great use. You normally don't want to 'waste' that much mana in thing that effect the game only in the next turn. It's a great card for sure, but I think it would be better to cast 2-4 spells on your enemy this turn.
"Burst Lightning" and "Shock": It's damage/mana ratio is not good enough, as replacements I would take a look at "Magma Jet" and "Shard Volley". "Magma Jet" has also the advantage that you can Scry2 and thus see what your next 2 turn draws will be. If you want a cc1/2dmg spells "Forked Bolt" does a good job as it is flexible enough.
"Shock": Dito...it's damage/mana ratio is not good enough
"Skullcrack": I would put it into my sideboard, unless you have a great deal of lifegain decks as enemy's
"Chandra Ablaze" and "Chandra, the Firebrand": They bot cost to much. As replacement for "Skullcrack" and both Chandra's I would take a loot at 'burn' or RDW creatures like "Goblin Guide", "Vexing Devil", "Hellspark Elemental" or "Ball Lightning"

For my own Burndeck's sideboard I use "Vexing Shusher" against counter/control and "Wheel of Fate" when I really need the carddraw.

Hope I could help you!
(Sorry for my bad English, I am no native speaker :) )

depends on the decks you're up to. You have it in your Sideboard, if you feel that it is more usefull than e.g. "Dream Twist" just switch. With the upcomming rulechange it will be possible to have a Sideboard with less than 15 cards.