Yes, that is feasible and there are real systems that take that approach (millions of them in fact - look up the architecture of the Sony Playstation 3 console

Yes, that is feasible and there are real systems that take that approach (millions of them in fact - look up the architecture of the Sony Playstation 3 console if you're curious). One problem that surfaces is that such asymmetric systems are harder to write software for, which can make them a bit unpopular.