Why would you want to switch 180°? Is there a use case for going back and forth for that? Just can't think of one vs just remounting the stick the other way around.
Traditionally with vertical games you rotate the monitor, not the lever.
If you do want to rotate the controls for some reason, usually the easiest way to do that is by repinning the wire harness (on a JLF) or moving around the microswitch quick disconnects (on an old style LS-32).