Johan
Ex got M3 in the divorce, waiting for EU Model Y!
As I mentioned in my original post, the motor can not control torque split between the left and right wheel while it is connected to both via the reduction gear/differential. It can be done only by applying brakes to one of the wheels, which forces the open differential to transfer the torque to another wheel. This is conventional mechanical system that is employed on many cars and really has nothing to do with the motor (2004 Toyota Sienna AWD which I owned a while back had this system).
The advantage of the electric motor combined with the above described mechanical system is in response time of the total torque that produced by the motor, it is almost two orders of magnitude faster than for an ICE power train. Elon mentioned several times that response of the MS/MX power train is in milliseconds.
Ok makes sense.