Indeed this would be a way to fix it. As my right eye is dominant it is pretty hard to close it and look through my left eye. Being able to tell MSFS which eye is dominant this would be much improved.
But since the real issue is that the mouse cursor is floating in front of the (glass) cockpit in stead of sticking to the display, a better solution would be to fix that part I think. Than it wouldn’t matter which eye is dominant anymore.