You might have a look at this thread https://www.cnczone.com/forums/gener...295-forum.html
and this thread https://www.cnczone.com/forums/hardi...-software.html
If you can write Mach3 macros and have reasonable electrical control system skills, then you should be able to do what you want. A lathe is a lot more complicated than a router, and you're not going to run it with a parallel cable breakout board. Interfacing with the Fanuc drives can be a challenge, but yours are DC so may not be so difficult. I gave up trying to interface my Fanuc AC servos and went with new servo motors and drives. The only thing that is original is the spindle motor and I'm running that with a VFD.
Can you do it for $1000? Maybe.