bwinzey :
No you'll be fine with the RX 480 and GTX 1060. There's only a slight bottleneck with a GTX 1070 and a 10-30% drop in performance with a GTX 1080.
If you overclock it, it will work even better.
are you sure? i have a gtx 750 ti right now, and while playing bf1 multiplayer, specially on 64 player game modes, it bottleneck the gpu heavily, so im afraid cause of it, obviously the 750 ti is weak, and i have the fx 8150, not the 8350 in case you misread it