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No need for clever people, I can answer that. Yes, the worm will move around the worm wheel if the worm wheel is fixed and there is freedom for the worm and its motor to move. However, your rack and pinion won't work. If you push against the rack it will just break the tangential teeth off the pinion. If you put some kind of bearing behind the rack on a radius arm holding it against the pinion and turned the radius arm it would move the rack around the pinion; don't know why you'd want to do that.
Cheers,
Andrew.
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