Not going to be worth it. The FX-9590 is just a factory-OC'd FX-8350 anyway, so if you wanted to make the CPU faster you'd be better off just buying your own aftermarket cooler & OCing your system. Even then, you'd probably at best only manage a 10-15% improvement in clock speeds, but at least the cost of a cooler is much, much less than the cost of an FX-9590.
GPU-wise, it's up to you whether to go to the RX 480 or not. Technically, it's not considered a wise choice because it only moves you up 1 tier on the GPU hierarchy (http://www.tomshardware.com/reviews/gpu-hierarchy,4388.html), & the general recommendation is at least a 2-tier improvement. However, it does look like you could see an improvement of at least 40%, if not 50-60%, depending on the game (http://www.techspot.com/review/1198-amd-radeon-rx-480/page8.html). However, I would only recommend that move if you're actually having issues with your current game performance. Otherwise, stick with what you have for now until next year's CPUs & GPUs come out.