I've been repeatedly among groups of people for other matters who held strong opinions vastly different than mine, and survived the experience without being overcome with angst.
You may have also. Like at a shopping center.
Just as you would not avoid a market that was full of people who subscribed to the latest end of the world certainty if you needed some parsnips for a stew you wanted to enjoy, you may have a personal stake in getting a leg up in sobriety important enough for you to bear being exposed to beliefs other than your own for an hour at a time.
Or you could try to convert them to your viewpoints, but that would make you an irritation and would probably prove out as a useless effort.
You could leave or practice tolerance, or continue to get ruffled...not sure other choices exist.