BF1 can benefit from more than 4 threads. So I'd expect BF V to benefit from more than 4 threads too, and maybe the benefits might be greater too.
A lot depends on your expectations. An i7 4xxs CPU might be all you need. At 1080p I doubt the 1060 6gb is going to be the limiting factor, unless you expect to run at especially high framerate and settings.
I'm definitely happy with 1080 at 60fps, I don't need more for now, in the future I'll upgrade my GPU but just want to make sure what I need first is a new CPU. I just want to be able to play without constant FPS dips which is what I've been getting on newer maps and therefore affecting my gameplay.
I'd also like to try to go as futureproof as possible. I'd prefer not to upgrade to a 1080 since they new 2XXX just came out.