What's the definition of bias for avoiding people drunk on religion?
Antitheism?
Anti-religious?
Anti-Christian?
That's probably my issue...the more vocally religious/preaching they are, the more I want to run away. No hostility...I just find it mind numbing on the conversation scale.
An antitheist is opposed to religion and actively takes action or encourages others to take action against religion and the propagation of religion. Think Hitchens, Dawkins, Harris. I admire the intellect of Hitchens and Dawkins, even though I'm not really an antitheist.
There are also people like Neil deGrasse Tyson who don't actively oppose religion but still argue for a science-based view of the world vs. a religion-based view of the world. Tyson actually rejects the label of atheist because he doesn't want to be associated with the antitheists. I like this attitude. Educate people and let them find their own way to atheism or at least a less dogmatic attitude towards religion. Okay, he's a controversial character these days but that's a subject for elsewhere. Chomsky is another prominent atheist intellectual who doesn't see his primary role as arguing or fighting against religion.
It sounds like you are just "over" other people's stupid religions. I don't think there is a word for that yet. I'd be inclined to make one up.