1) Make up a single-point thread tool with a good handle on it and use it manually to try to chase the threads.
2) Chuck the drawbar up in your independent 4-jaw, center it, and chase the threads with a single-point. Tricky part is picking up the thread since they are very fine and internal, thus hard to see.
3) Cut off the threaded part, braze on a new, shop-fabricated piece with a bigger OD than the drawbar for machining allowance, set up in 4-jaw, turn down the OD, bore and cut new threads.
4) Make a whole new drawbar from scratch.
5) Buy a replacement.
Have I exhausted the possibilities?
Ed in Florida