Abuse the power of [Hearthstone Card (Tortollan Pilgram) Not Found] at least until it gets hit with the eventual nerf bat.  All you need to do is make one 1 mana copy of Pilgram, then you can do degenerate things like heal yourself up using Earthen Ring Farseer and Traveling Healer, make giant Questing Adventurer or create value and generate spells using Wand Thief.  Lock your opponent out with Boompistol Bully or use deck disruption with 1/1 Hecklebot followed by a freeze.

The combo goes like this:  make a 1/1 copy of [Hearthstone Card (Tortollan Pilgram) Not Found] by playing it on turn 8 and choosing Potion of Illusion.  On the next turn you will have enough mana to make more Pilgrams to save for later play, or choose a freeze spell to ice your opponent's board.

Let's say you want to heal and you're at 10 mana and have a 1/1 Pilgram.  You play Earthen Ring Farseer, then your 1/1 Pilgram and choose Illusion.  Now you have a 1/1 Farseer and another 1/1 Pilgram and 6 mana left.  You can play another 1/1 Farseer and another 1/1 Pilgram and heal some more and make more copies or ice out your opponent.  As you can see, the choices are nearly infinite.

It's difficult to order the sequence and it depends on what you want to do that particular turn as to what order of cards and spacing on the board you place minions.  A lot of counting and hand spacing evaluations must be done.  You may need to kill off a minion or two.  It's important to note that Potion of Illusion copies cards from ordered played, so things can be a chess game in the later rounds.  But that's what makes the deck fun.  You end up winning a lot of games by frustrating your opponent to rage quit when they realize they can't disrupt your broken combos.

 I feel like when mastered, there are very few decks that can beat it.  The only thing I can see how to lose consistently is by your own misplays and running out of time.  Also, Glide or the new Priest lengendary Mindrender Illucia can really wreck you.

Sphere of Sapience and Lorekeeper Polkelt are there to keep at least one copy of your Illusion in your deck to prevent drawing them both and destroying your combos.

Mulligan: keep Depth Charge Doomsayer and Tortollan Pilgrim.  Keep Sphere of Sapience and Lorekeeper Polkelt.  Keep Arcane Amplifier and Bone Wraith against aggro.  Always toss spells.

Previous iteration ran Escaped Manasaber, which was nice to get a round 7 Tortollan, but I found that it really clogs your hand and playing field when Illusioned.  Didn't seem worth it.