For the benefit of anyone who has this problem, the first of my albums shows an extractor that I made for just this problem The reason that there are two split fittings is that the larger one is intended for use with a 5MT sleeve
The split sleeve, has an internal taper, made with a centre drill, and the cone (Loctited to the studding ) has an external taper to match. When the long nut is tightened on to the recessed cap, the tapers cause the split sleeve to expand to larger than the end of the 2-3 MT sleeve to extract it from the the quill.
The recess in the cap needs to be just a little deeper than the protrusion of the sleeve from the quill.
The nut on the studding, just below the split sleeve is so that it can be driven through, and out of the 2-3MT sleeve. The chamfer on the leading part of the split sleeve, allows it to enter, so that it can collapse to pass through.
I used 1/4 BSF, but M6 would be quite suitable, or a larger and stronger fine thread say 5/16 BSF, 5/16 UNF or M8.
You may be surprised by just how much load a 1/4 inch fine thread can exert to remove such a sleeve.
Howard