>>322542295
A couple layers of polyethylene (saran) did the trick; just put a tiny patch on top of the metal rod, and push the joystick back on, and now it's more secure; not as good as new but it'll do.

However, when I first tested, putting the saran wrap on actually made the range of motion worse. I had to turn the controller off and back on again to restore the joystick to full range of motion. I guess there's some sort of calibration that runs on joystick start to calibrate the min/max of the sensors in the joystick module.