Do you legitimately think that's not thumbing their noses at their new neighbors? Do you actually believe that the neighbors – you know, the folks who were there first — have no choice but to suck it up? "Welp, they bought the house and moved in. Nothing to be done about it now."
If, on the other hand, you mean suddenly dropping over for tea and scones of a weekend morning, or fruity pink drinks after work, then no, I don't think they're obligated to "suck it up". Their neighborhood, from their perspective, has just been "invaded", and they have a legitimate right to feel aggrieved by that, right or wrong, bigotry or not, assholery or otherwise.
Just like the folks in Lincoln Heights have a right to feel aggrieved by Rhinehart's ugly, unmaintained container — except, of course, that the gay couple didn't break any laws. (Just a few years ago, they might have, depending on jurisdiction, but since Lawrence v. Texas, there isn't even that; it's just confrontational, and possibly even rude.)
I'm also doubtful that the gay couple truly hasn't broken any laws. I'm sure that with enough digging, the homophobic neighbors can find a fence on the wrong side of the property line, a deck that isn't zoned properly, or something similar; the neighbors could even pass a HOA regulation prohibiting pride flags. Does that make it morally justified, because it's "their" homophobic town? It seems like you think so.
Would you call it confrontational for a KKK member to move into a black neighborhood and fly Ol' Dixie? Because that's perfectly parallel to your proposed scenario, and that's what you're arguing for.
Just because the people we're talking about are members of a protected class doesn't change the logic of the situation.