Just a thought, if you're basically tilting the cutter axis, What total angle do you need? Up to around 90 deg. total movement, a ballscrew/lever mechanism could be one answer. I know the output's not linear, but that could be fiddled in software, or by simple calcs if you're moving to preset positions. If you need continuous movement, it really needs a math function input to the controller, but that only needs someone smarter than me! (not hard!) It ought to be way stiffer than any rubber trick, especially 3-stage!