I don't think anyone mentioned the speed issue yet, 50 HZ will run way too slow, synchronous motors are tied to the mains frequency. Similarly, since they are AC motors they can't be wired to reverse direction the same way DC motors can often easily be reversed. AC reverses polarity in the wires at the frequency specified, that's what differentiates it from DC, where polarity is fixed and unchanging.
You can do some searching to see if someone has identified sources for replacement motors. I know I've seen threads on this but I'm not sure if they were successful.
If someone can provide you with photographs of the data plates on the motors used in the southern hemisphere it might be a good starting point for your search. Also, you may be able to find slight modifications to the data plate model number information on your existing motors, in event that you find a supplier and a list alternative model numbers for your specified frequency and voltage.
One thing I've always wondered, but never had to personally investigate, was whether plug in clocks using synchronous motors that run off mains voltage could be adapted to a telescope base. You would probably have to go to a flea market to find some though.
Although it usually seems to be a disadvantage to be located in Australia, my recollection from decades back is that there is a active electronics hobbyist population there, and that some electronics and electronic components are easier to buy in Australia than other places.