Ok. since have no idea on how this was designed, and have not used anything similar to this since about 1977, have just watched and learn. But on some of the items I think there is ways to do things.
1. The rack and pinion. One way to keep the lift out of it is to put the rack and pinion under the table and attach the table to the rack with pins. Build a solid rack and Pinion that way any play is in it, and free from the table, Use pins that can slide up and down through the ends of the Rack thus not transferring the lift to the table, yet the table can be easily removed. It does not have to be pins, it can be some sort of latching systems etc. as long as it will allow the rack to move any up and down without transfer to the table. Almost like was being talked about with the chain drive system.
My problem with the chain drive system, is that at the end of the cutting stroke it may let the table go back if there is much slack in the chain. Thus bumping against the wheel like it was trying to go the wrong direction. Of course if you have to much play in the rack and pinion system you could have the same problems. but that can be set by tooth depth etc.
Just what I am thinking but it may not help as I do not know how the design has the current rack and pinion set up. My idea may take a bit more work to put in.