In the FX line, the 6300 is not that much slower in gaming than the faster CPUs, so there's no real benefit to upgrading that CPU.
Whether it bottlenecks the 950 is not the important part, the important part is what framerate are you getting? What framerate do you want? If you are getting what you want and need, then it doesn't matter if it's bottlenecked. If you are not getting what you need and want, then we'd need to know more, like specific games you play and framerates you get, to suggest what you can do to get there.