Not 100% sure if I had the same issue as you're having, I only use steam offline mode cause some games I play require steam, that's besides the point. Anyways I followed the process on github to get my xboxone pad working with usb again, still working on getting the wireless fixed for it. I have no clue if it would work on a ps4 pad even, but some of the problems with 2 devices showing up seems like it could be a good place to start.
This is the link to the steps I used.https://gist.github.com/ziadoz/b227dedf ... 322b7eb74b
Edit: if you don't trust links, can google "windows 10 anniversary update gamepad problem" should come back with a plethora of posts all over the web about it. Good luck^^