That doesn't matter if it still comes at the cost of a weaker graphics card. You would be better off getting a cheaper CPU and/or going cheaper in some other components (if not both) because there's no good reason to have a mere Radeon 7850 in a $1000 gaming build. That's what you might put in a $500-700 build, but in a $1000 build? It's basically just paying more money for about the same performance, IE not worth it.
Really, an FX-6300 would be a better CPU for your build because of the extra budget allowance it leaves to the graphics while having similar gaming performance to the FX-8350.