Any CPU can bottleneck any GPU in the right conditions, so all this rubbish about what CPU's will and won't bottleneck particular GPU configuration is nothing more than hardware mysticism fueled by from-the-hip conjecture about computer hardware. I advise ignoring input from anyone who placates to such nonsense. Without references to specific games, specific visual quality settings, and specific conditions in those games, there is absolutely no way to definitively say what CPU/GPU combination do and don't "bottleneck."
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The CPU presents hard limits of performance (fps) in gaming no matter what GPU it is used with. In some games and conditions, these hard limits are at levels far beyond the performance goal so are negligible. On the other hand, in many popular multi-player games, these hard limits can be very intrusive. Zambezi typically performs worse than Phenom II in these conditions and is known for putting up some pretty pitiful FPS in many popular multi-player games in congested and/or high unit count conditions.
Vishera is absolutely an improvement, but it's not going to be earth shattering unless you could put up a strong overclock to widen the gap. The difference in computation performance between the 8120 and 8370 at stock clocks can be anywhere from ~20-50% depending on the specific workload. Unfortunately, in the workloads that plague these CPUs (poorly threaded but compute intensive games), the advantage of the 8370 over the 8120 leans more towards the 20-30% end of that spectrum. In some cases, a 20-30% difference may be pretty useful, but in some cases it's not going to be enough to close the gap on a performance goal. You'll have to decide if it's going to be enough to reach your performance goals.
Unfortunately, the Extreme3 990FX board is probably the worst 990FX board for overclocking. If you were already on a better AM3+ board I would say it might be worth a go at switching to vishera and overclocking to get a nice step up in performance, but beings that any overclocking attempt is going to hit some power limitations very quickly, I'd be inclined to wait it out for a total platform replacement.
If you're itching for a new CPU, consider picking up a used 6300/6350 instead, as it will be cheap (~$75 or less) and be apt to clock higher and perform better within the restrictions of your VRMs in gaming worklaods.