Going back to the original post asking about an easy fix, the answer is dependent on what Garry considers easy, but more importantly, what is the actual purpose of these holes and studding.
If its not essential to have long lengths of stud projecting out of the holes than why not just use screws or bolts with the finer thread, not as much available as in metric coarse but still enough around to chose from.
From the picture the lathe looks to be a woodworking lathe so its unlikely to be ideal to make studding. Is the 6mm diameter a limit, I wonder whether the holes be rethreaded to M8 (or M7) and larger studs used, alternatively it would also be possible to make inserts with M6 internal thread and a larger external thread, say M8.
Ian P