I'd want to know what the tolerance on the 6 degree taper is. Hopefully not too tight.
I'd start with ground stock and use a 5C chuck on a draw tube. With ground stock (bit extra $ up front) you can save quite a bit of time on tuning the OD and holding concentricity after flipping the parts.
I'd the M10 thread first on all the parts, rough in the thru bore (97% of desired diameter), and cutoff
Then to the mill on a rotary or another fixture to hold the part horizontal to drill and tap the holes.
Finally, I'd install a depth stop in the lathe collet and finish all the tapers and finish the thru bore with a reamer. If you are careful, you can use the reamer to deburr the insider of the tapped holes. I would think you could have the compound set such that the taper could be cut and finished in a single pass with a sharp tool.
If I had to make more than 20, I might consider a custom piloted spade drill that could finish the narrow end bore to tolerance, deburr the tapped holes, and clean up the parted face in one operation.