Your idea will work but I worry about the fact that you have two separate motors not physically linked. If one motor would loose a step or two then that would put the gantry in a bind. A lot of commercial machines use one motor turning a drive shaft linked to the pinions on either side. With this method the only way it could get in a bind is if a pinion would jump the rack. If there is this much play in your system then you have done something wrong in your design. If the commercial guys do it then there must be a good reason for it.
K.I.S.S.- keep it simple stupid
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