Interesting that Freemason's wouldn't let Catholics join. Because as late as the early 60s (and perhaps later), a significant portion of Southern Baptists intensely distrusted both Freemasons *AND* Catholics, imagining conspiracies everywhere (hence JFK's address to a S. Baptist conclave to assure them that he wouldn't be taking marching orders from the Pope).
Of course, some Baptist denominations (especially the ones who claim they are NOT a denomination) have been wont to even attack other Baptist denominations.
Pre Civil War, there were entire political parties dedicated to one single issue of opposing some group or other. Eg the Know-Nothing Party (anti-Catholic), and the AntiMasonic Party.
Freemasons (at least some of them) would let Catholics join, but the Catholic Church absolutely prohibits membership in the Freemasons.