Ard Mhacha ...
It'd be just as dangerous for someone from the other persuasion to wander through Kilwilkie singing a song associated with Rangers. It's not all one-way traffic.
Reminds me that I got into bother once for singing "The Oul' Orange Flute" in a pub in Dungannon - if ever there was a song that could be sung by both parties without causing either offence (or offending both equally), then that's the one!
These things piss me off so much that when I've kicked off sessions, I've insisted that we do a medley of marches where we go from "The Wearing Of The Green" into "The Sash" ... works pretty well ... now and again somebody's eyebrows go through the top of their head!