Well, 1 of them CPU's is right around a FX6200 give or take. AMD CPU's will hold back or well have a hard time keeping decent smooth game play on some games. A GTX 1060 I would say you would be perfectly fine and most games you will get playable fps at 1080p.
A GTX1080 on the other hand, Well that card will be held back in more games than not, That CPU is a six core and you have 2 of them, but you wont be able to overclock them. You will be lucky to get the same FPS in games that an i3 6100 would get easily.
I wouldn't spend money on a 1080 with that system, unless you are planning to build something else then get the 1080 and save up for something like an i5 or i7 which would be a much better performing chip for games.