No. For just a gaming PC, you want the best processor you can afford. In your case, I'd be looking at either the Intel Core I7-4770k or the Intel Core I5-4670k. If either of those configurations are within your budget, that's the route you should go.
The only time I'd recommend the FX-8350 would be for an extreme multi-tasking system. For example, 2 cores for compiling code, 2 cores for video rendering, two cores for gaming, and a couple extra cores for in-game chat/web browsing; all of this at the same time.
-Wolf sends