So this cab also plays pinball games, and it needed pinball flipper buttons.  The furring strips allowed for the button to be in place, but not the whole button nut.  I clipped the nut to allow it to fit on the button shaft and the cab.  I removed the button, spring, and switch.  Then  I super glued the threads of the nut, and placed it on the button shaft.  Then I used gorilla glue between the nut and the furring strip near the contact points.  This button is now super stable, but completely locked in place.