If it works by different assumptions, it stops being capitalism. So if you aim to remove these elements, you're aiming at destroying capitalism.
If you and I are both working stiffs, and we both have $50 left at the end of the month, and you buy some beer, and I buy a used sewing machine so I can take sewing jobs in the evening, then I'm a capitalist and you aren't. That doesn't make us of different classes, though, (except that I may be mentally at a different place than you are).
I don't think that's true. In the traditional schema (for its faults and advantages), a capitalist is someone who both owns capital and employs wage labour. If you hired people to work on your sewing machine and kept their produce, that would likely make you a capitalist. At the end of the day, these examples don't work well to illustrate the notion of capitalism as a social phenomenon, rather than one involving two individuals who buy beer.
In fact, I believe the opposite is true: that capitalism succeeds despite the drag that decisions made under desperate poverty (and the exploitation that comes with that) makes on the system. And, without that drag, capitalism would actually be far more successful than it already is.