Okay, we can scratch all of that. (Well, most of it.) The only reason my budget was that low (I say low, but I've been saving up for years...) is because I wanted to get FC3, but I see the 7950 comes with it. Here is the new build: http://pcpartpicker.com/p/z36y
I think that you could do a little better with getting a 660Ti and getting a better CPU. Like this http://pcpartpicker.com/p/yV6e. I think this is my first post here so I'm just going to jump right in. And hopfully this is helpful.
I would, but the 670 is an absolute beast for the price. If anything, I would go for the Radeon Hd 7950. I did change the processor, though, to a 6300 and downgraded the psu to 700w.