I just tried to attach my Dremel to the Cyclone:
This doesn't work.
Just found out that I've a Dremel 300 and the Z axis is designed for the Dremel 3000.
There are no ready design available for the Dremel 300. Shit.
I've a few options:
Design a Z axis for my Proxxon.
Buy something from eBay/Aliexpress (775 DC motor, CNC spindle), they have ready Z axis design.
Buy a Dremel 3000.
After a half day thinking, evaluating the options, decided to buy a Dremel 3000. It needs the least effort now. I was able to find one for ~$40.
I ordered it in the morning. It landed in the FoxPost's box on the same evening (It was fast):