Modding an existing joystick for quick-removal would not be that difficult.
You could use one of the many existing quick-connects that are usually sold as Drill or screwdriver attachment kits.
(Air-hose connects could be used too... but... those tend to be thicker in diameter)
You then would just
- cut the original joystick shaft
- grind a notch on the bottom end of the shaft with a dremel, or maybe a round metal file.
- Once the fit works properly with the adapter, then cut the adapter shaft to desired length
- Round (grind) the end portion of the typically hexagonal shaft of the adapter
- Cut off the ball of the original stick, and drill a hole to match the adapter shaft end.
(if no ball exists, buy a wooden ball, or plastic ball, that best suits the size desired)
- Use Epoxy, or Epoxy paste, to permanently glue the shaft into the ball (or bat top).
* Note: Make sure epoxy is mixed extremely well... especially true with epoxy putty.
- Wait 24 hrs for full cure before use.