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A toothed rack is essentially a toothed wheel of endless radius. Therefore, the ratio of torque transmission is infinity. What you offer is just this. While it is possible to move the rack in linear fashion with this gear (most of modern car steerings work this way), utilizing rotational component would be not possible - the way it's not possible or extremely hard for many worms to be rotated by wheel. With the purpose of simplifying your analysis forget about teeth for a while - replace the gear with rollers and beams (no mutual slippage). The system on your drawing may work - but synchronization of both motors would be true pain. Also, you need a toothed wheel, two racks, two motors pulling the racks with some extra gear. Hardly simpler than a simple worm gear.
Just my professional 2c on this problem.
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