The motor is being moved by the transfer ecu. See page 84 of the ETM.
With taking out the connector at the motor or ecu and applying voltage direct to the wires you should be bale to move the motor. I would only do that with the motor removed from the transfercase so that you make sure you do not turn the wrong way and break something inside the transfer box.
Page 84 also shows the feedback signls from the position switch. With measuring the signals here you can move the transfer case by hand.
The transfer ecu is a common failure item. If you have the old type which is the square box type without the cooling ribs, open the box and take a peek inside. If you have burned electronics inside you have to change the ecu. Before connecting up the replacement, tes the motor as it can be burned as well and fry the new ecu at the first try.