I hang out on the Internet a lot. Through mailing lists, message boards, blogging, and Twitter, I’ve come across many people whose opinions I didn’t share.
My approach in that case is to listen and find out who people are and where they are coming from. For example, I got to know Mormons, Plymouth Brethren, New Atheists, and Skeptics. There was some skew in those people - most of the New Atheists I read were the evangelical ones, like Richard Dawkins* or PZ Myers*, while most of the Mormons and Plymouth Brethren I knew were thoughtful people who thought hard about how best to reconcile their beliefs with science.
Reading both sides gave me an appreciation of where the individual biases and restrictions were, and how that played off my own biases.
Within lifting (powerlifting, weightlifting), I’ve come across yet other groups of people I wasn’t too familiar with. For example, on lifting forums, you see men talking to other men, with lots of testosterone, alpha male strutting, and posing (no homo!). I see people who chose an alpha male identity, because that is for them a good way to make sense of their lives. Some of these guys don’t know how to deal with strong, assertive women.
I also see a lot of jokes that play on the weakness of women relative to men - don’t be a pussy, North of Vagina, I was lifting like a girl on her period - all from people who genuinely help women get strong.
The way I chose to deal with it is to stay with the community, note my discomfort, and filter what I see to get to what really matters, quality advice about lifting and powering through hard times, different views of the world and different life histories, stories of grit and inspiration.
* I often find that people like Dawkins and Myers speak to those who have had to struggle free form restrictive belief systems, and to those who have seen the damage those restrictive beliefs can do.