It sounds like a cool idea, but let's do some math:
5 card starting hand + 4 card replacement hand + 3 card replacement hand + 2 card replacement hand + 1 card replacement hand = 15 cards
So until your hand is >15 cards, you can pretty much guarantee you'll draw your Golem every turn, which means playing your two Torturers every turn, which both slam your opponents and give you at least a six-card hand for your buy phase. Then, even with >15 cards, you'll still usually get to it.
Of course it takes some time to put that deck together, but you can start out by buying a single Torturer and playing that every turn until you can accumulate the other pieces. Your opponent, meanwhile, will be returning fire, I suppose, so it's not unfair, just...violent.
With heavy trashing, the game won't change as much. But you won't need it as much, as you can always skip a bad hand. So Curses and Coppers won't matter as much, and you can start greening earlier. Possibly MUCH earlier.
Edit: Tunnel suddenly became even more awesome.