Fundamentally you dont have to let the game you are playing perceive the gyro input directly at all, the game sees it as mouse or gyro input. That being said make sure you arent sending joystick input and mouse input at the same time, that can break things in many weird ways.

The simplest solution is just to make everything appear like mouse and keyboard which again bypasses the game having anything to do with gyro input before it is safely converted to normal mouse input.