Yes, so? When I race my head shakes too. But I NEVER notice that, because my brain listens to both the signals from my eyes and signals from my inner ear, and cancels out any visible movement. If you saw the head movements, even in a weedy little car like mine, then you would not be able to drive at all.
Try it on a bumpy road - your body moves, your head moves, but your view remains pretty static.