Can it work in practice? Can backlash in circular gears be handled? Is there a better way?

Only one drive screw is actually required on each side. I was thinking of diagonally offsetting screws to beat backlash.

The goal is to both illuminate belt strumming (vibration) and also be much stronger, for mini-milling, etc.

I think the gears wheels would have to be custom machined. *yikes*
Too complex? Worth the hassle?