I hope not, I'm running that setup!
Realistically, the only bottleneck is likely to the monitor, unless it has a refresh rate of 120Hz or above you'll effectively be limited to 60FPS and that rig is capable of running even very demanding games faster than that.
Thought long and hard about upgrading from a HD7950 when my i5 750 died on me, (hence the i5 4690K) the GTX970 is really TOO fast for a single 60Hz 1080 display, after all, it's a bit quicker than the GTX780 and gives the GTX780Ti a good run for its money but then again, thinks I, it's like buying shoes: A cheap pair will last a couple of years but spend a bit more and they'll LAST.