Looking at your images, it makes me think of precision lapping machines. In fact that is what it is.
So the parts most critical to quality will be a flat, rigid disk spinning with low vibration.
Rotational forces are probably not too high.
I am reminded of a hifi turntable platter. Heavy and with a good main bearing.
Having the motor decoupled from the platter via a belt drive would help to reduce vibration.
I wonder if 4000 rpm parvalux driving through a 1:4 ratio pulley & belt would work ?
Brush motors with commutators are called "universal" because they can run off both ac and dc. Regardless of their names, they don't care what you use. Only the voltage matters and below their design maximum voltage they will still run but at lower speed and making less power.
There are many cheap modules available on ebay that convert one dc voltage to another. Up (boost converters) or down (buck converters). They are specified by their max voltages and by their power rating.
If you preferred to feed the motor with AC, then a big enough transformer would do.
This expensive lapping machine happened to pop up used on ebay today. Just for your curiousity.
https://www.ebay.co.uk/itm/266695404087