Ok.. the motor stays in the car for the swap
Because the torque axis mount is the only support at that end of the motor.. and you need to remove the mount to gain access to the WP.. you need to support the motor a bit.
Position your floor jack w/board on it under the oil pan and bring the jack/board up and touch the pan.. don't put any pressure on. Then undo the main bolt of the TA mount. Apply light pressure to the motor with the jack and work the bolt out.
Now.. the jack is holding the motor and you may remove the body side of the TA mount safely. Remember..for the motor side, you remove the power steering pump via the two 13mm bolts through it'* own pulley. There is no need to remove the pulley on the PS pump.