Are you sure that they’re really being obnoxiously religious, and not simply rubbing you the wrong way?
those people who answer everything with a religious reference
Perfectly natural, when you live your faith (which you’re supposed to, by the way). How you react to something depends on your paradigm.
who aggressively push their own views
Can’t speak for all faiths here, but us Christians (you’re thinking of Christians, aren’t you?) sort of have evangelism on a high priority. Not only is it mandated, it’s the logical outcome of a consideration of your beliefs. The saved get to spend eternity hanging out with the King. The unsaved do not, and the Bible suggests that this is a fate worse than death. So what do you, as a nice guy, do? Let ‘em burn so that they aren’t inconvenienced by your religious view-sharing?
who denigrate anyone who disagrees.
Not sure if we’re thinking of the same thing when you say “denigrate.”
This may come as a bit of a surprise to you, but no faith agrees with any other faith. They’re all mutually exclusive. Which means that one is going to be right, and the rest are going to be Hell-damningly wrong. Evil, even.
Is this some bizarre, misguided attempt to convert people (by alienating them?!?)
Clearly, not everybody is alienated.
or are they just proving to the world how pious they are?
There’s actually a lot of this, though obviously not every case. It’s an old problem that arises naturally from human nature, and so must be curbed. These people are typically managed through prayer and counseling and their own conviction, though they’ll also sometimes leave in a huff if all they really want is to be self-righteous to people.