Bottlenecking will be existent. That can be solved by OC.
One of my sig. builds run an RX 480 with the FX 4350. If you are targeting for 1080p 60 FPS, that CPU may not be up to the task unless you overclock heavily.
You may need to OC heavily if you dont plan to change your gear. I recommend Arctic Freezer 13/Cooler Master Nepton 280L or equivalent.
This is because AMD FX CPUs have low IPC for its clock rate, and combined with the relatively low 3.5 GHz stock clock of the FX 6300 yields low single thread performance. It should do 40-70 FPS.
However, if you want smooth 60FPS minimums,
you either have to go Intel, go AMD Ryzen (new board and RAM) or OC. A 4.7-4.8 GHz OC on the FX 6300 would easily net you good 60 FPS...