Will this gaming computer desktop rig work out?

It'll work, but i'd stick with 4gb instead of 8gb because you won't use more than 4 if you're gaming and you could always add more later and it's easier upgrading ram than a whole nother gpu, i'd get 4gb and use the saved money to get a better GPU than the gtx 460, it's not the strongest, espeically for a gamer PC. I have a gtx 560 ti, you could get one for $220 and it handles anything easily at 1080p.