http://www.huffingtonpost.co.uk/lauren-oyler/feminism-something-is-wrong-and-it_b_2057514.html

"Let me start off by saying that I am right. I am so right that I feel no need for political correctness, no need for intellectual discourse for the sake of intellectual discourse."

I'd say this summarizes the problem with feminism. They start with the assumption of being unassailably in the right, and go from there.

There's a word for this sort of attitude and close-mindedness: it's "fanaticism".