-with a alternative client
Biggest problem right there:
Such a client would be of NO use to generate BTC, meaning it needs to be willingly installed. It's not that easy to convince people to do this!
Also it is quite hard to bruteforce a wallet, so this again could lead to "some" problems (like "the sun expanding to the surface to the earth sooner"-type problems!).
Aaaand there is the small (but not impossible) chance, that the wallet you crack as a combined effort is your own!