I've got the same binding issues as well. (I don't move the mouse) I have a MS USB Optical mouse and zero problems in other games.
I'm unable to bind the Mouse #1 button to move forward, or the #2 button as an alternate fire button. It kicks up as a joystick movement, or sometimes nothing at all. It's really buggy. (The game)
My joystick is plugged in and working when I do this. (Logitec Freedom 2.4 cordless) Zero issues with it in other games. I'm not willing to learn different keys for movement, so hopefully a patch comes out, or this game gets tossed.
I feel like JarJar Binks was in charge of quality control for this part of the game.