Yes i can try to do myself but i also enjoy learning from someone who can help out who is more knoqledable than me. Which is basically none.
I'm in SFL, so a little far from you, but if I were you I would start with posting some photos of the machine and the joystick, I'm pretty sure someone will step in to identify it (the joystick) then we can look at whether the replacement is even needed. And then finally possible disassembly, and replacement.
As to the Hyperspin you could also ask on Hyperspin and HyperLaunch forums for help, they're quite lively and helpful there (if no one steps here).