Eliza,
I suspect that if someone were to sing the Horstwessel Song for the Ba'nai Brith or Dixie at a Black Panther Rally, it would be probably be as you say. But overall, I think that generally accessible tunes that have no hot-button associations have a healing power when sung by more than one person. Of course there are those who just like to be angry and use any excuse to get there.

Last time I looked, there were no mosh pits at a hootenanny.

Frank