I am a liberal agnostic athiest jewish bisexual feminist independent educated woman and if you talk about your beliefs I will share mine. If I meet you for the first time I will not ever begin an argument with you and I will continue to carry on polite conversation. If you ask me about the completely benign non-confrontational research that I do and I start talking about methods it is no reason to start talking about your faith and then attack me for previously sharing mine. Especially when I qualify that I do not judge you in any way for your faith and I am comfortable with whatever makes you happy. I will still smile and wave and say it was nice talking to you when I leave because I am polite and tried to find common ground with you on other topics. Next time I see you at a party I will probably leave because I am sick of being looked at with that same condescending smile, with that same accusatory tone of voice by every other person that I bother to open up to.
People wonder why I have a hard time opening up, trusting, and making friends with new people. This is why.