It might not be that bad to fix, I've not seen a joystick that's come off the PCB yet.

Personally, I'd take it apart but be very careful when taking the main board out of the front side of the case - it's incredibly easy to break the hold switch when doing this. Oh, and you need to pull the front glass off the unit after removing the handle, as there's a screw under here that holds the top right quarter of the player on.

YMMV, obviously!

Hugo