Ah, ok. That may explain it, I recall that there was a warning in Unity that input types might not work and I imagine that Wine might not be handling it well.
I'll look into a Linux native port so that you don't have to use stuff like Wine to play. Native will always perform best, and since I won't need to develop any new input methods or screen inputs or whatnot, it should be a relatively easy go of it.
I'll let you know what I find out!