Could you align the part axis with the turntable axis, then create a vertical cutting plane (perpendicular to the wire) to slice the model and then create profile information along the slice? Rotate the part around the part/turntable axis a bit, and the recut, etc. I don't know how you would automate this in software, but that would be the mechanical aspect to it.
BTW, I would call your machine a 2 axis + a third axis if you add the turntable. Master and slave count as 1 axis
First you get good, then you get fast. Then grouchiness sets in.
(Note: The opinions expressed in this post are my own and are not necessarily those of CNCzone and its management)