Grab the Fx 8350 OR even FX 8320 specially if you live stream , I have an fx 8350+ R9-290, and I max out every single game out there, the thing is for most current games both CPUs are either equal, or one surpasses the other one with a slender difference, let me show you some benchmarks...
1.http://www.techspot.com/review/591-medal-of-honor-warfighter-benchmarks/page6.html (MOH Warfighter)
2.http://www.techspot.com/review/601-black-ops-2-performance/page5.html (COD Black OPS2)
3.http://www.pcgameshardware.de/Crysis-3-PC-235317/Tests/Crysis-3-Test-CPU-Benchmark-1056578/ (Crysis3)
4. http://www.hardwarepal.com/call-duty-ghosts-benchmark-cpu-gpu-performance/6/ (COD Ghost)
5: http://www.hardwarepal.com/battlefield-4-benchmark-mp-cpu-gpu-w7-vs-w8-1/8/ (BF4 multiplayer)
6: http://www.hardwarepal.com/batman-arkham-origins-benchmark/8/ (Batman Arkham Origins) look at the boxes with new AMD 13.11 drivers labels
I can show you more incidents that both cpus are either equal or one beats the other one with a slender difference, one thing is notable here is that in games like COD Ghost, the game only uses 25% of the power of fx 8350, which shows this cpu has got alot of head room for upcoming future games which will be more like crysis3, you are going to be fine with either cpu, if I wanted to choose again, I would go with fx 8350 again, or even 8320 and overclock it to 4.ghz to change it to fx 8350, It is a great cpu, I love it. but regardless of your choice, you would be fine with either CPU