Initial-E :
Thank you for the feedback! Will the FX-8370E CPU @95W suffice?
I want to keep my PSU which is 450W intact for now, and I have a GTX 960 4GB GPU running at the moment.
Will there also be bottleneck issues?
Unless you have a high end 450W unit, most likely it won't be a good idea.
Unless you need the ~30% improvement in multithreaded performance, it won't really help you much. For games, any current AMD chip is nowhere near as good as even the i3 6100 that is actually cheaper!