You seem to be equating motor rotation(RPM) with the speed that a rack moves at. Rack and pinion ratio is not the same as spur gear type ratio. The speed/distance that the rack moves is calculated by the distance between theeth on the rack and the number of teeth on the pinion.I guess my hesitation was not around the torque, but the top speed and the torque.
You seemed to think at the start of this, that a linear stepper type motor with no gearing advantage(like in a R&P) was going to be OK speed and force wise. But that stepper would basically only have a small number of coils energized at a time. But don't think a rotating stepper with many segments in it energized at the same time, giving more force, and then having the gearing advantage won't be enough force or speed? I guess I'm just getting senile in my old age, because it doesn't make sense to me.
Let me ask another question. Do you have any high speed video of someone making a break? that could be slowed down to see how much the arm moves. Or have you tried making a break shot into a force gauge to get a real world measurement, not a theoretical one?