I've had exactly the same problem as you and it's not this game's fault. What I needed to do (and what might work for you as well) is open up "Configure vJoy" and then disable all axes for each device. After that, you gotta restart your PC and then it should work.
When you want to play another game where you need to use a controller or some other vJoy device then you gotta reactivate them again. Hope this helps. :)