Proof of concept. This is my first crack at this deck. It's not my usual play style, but it works and if you like playing greedy multi-faction decks this can probably be tuned further to be a very nasty deck. I included two Draftbeasts for additional influence fixing, but you could probably take them out since they don't synergize with Crafty Infiltration. Maybe replace them with some more removal or market access? Siraf is another option that Crafty Infiltration can hit, and is a good card to utilize excess power in the late game, but I don't have it crafted. Probably worth including if you do.
Cannot advise anyone playing this without modifications.