Game runs, yet is completely unplayable

[CuriousHouseElf]

This game worked months ago when I had a much less powerful machine and now, no matter which control method I use (mouse and keyboard or Xbox One controller) the controls are completely glitched. The slightest movements make the screen do a complete and random change in direction, the gamepad worked far better, but the controls were still shoddy at best. I have found no troubleshooting advice helpful both on this site and on Google. All of my drivers are up to date, I even restarted my machine and tried a clean install and it's still completely broken. Any help would be appreciated.

Rig:
Windows 10 Pro 64bit
Intel Core i7 2600
Nvidia GeForce GTX 980
24GB DDR3