Let me start out by saying that I'm a horrible Hearthstone player. This is purely a Theorycraft, which is only made for fun, and shouldn't be taken seriously. However! If you get to pull off the combo, it'll be glorious.
The way to pull off the 2-turn Fatigue Combo
Play the game as your normally would, but make sure not to play any of the cards above too early. When you're reaching the end of your deck, get ready. As soon as you have drawn your final card, it's time to activate the fail-safe boy, also known as Octosari. The key here is to make the Scarlet Webweaver decrease the cost of Octosari to 3 instead of 8. If you manage to pull this off, consider yourself in for a treat.
When you have all the other pieces gathered do as following:
Step 1: Play Octosari
Step 2: Play Baleful Banker on Octosari (This is now your only card in your draw pile)
Step 3: Play Mischief Maker (The Octosari copy is now in your enemy's draw pile)
Step 4: Play Dalaran Librarian, and silence your own Octosari.
Your opponent is now set up for his Octosari draw. In case he refuses to play Octosari; Fear not! Your friendly neighbourhood Wild Bloodstinger is here! After playing this majestic scorpion, Octosari will now be at 2 health, and even your Dalaran Librarian and Baleful Banker is able to finish him off.
Sit back, and relax, while your opponent draws his way to fatigue.