We look at things from what shapes our world view. I blinked recently to see someone's Twitter bio as pro-equality but anti-feminist. Who did he want equality for? He didn't have to be a feminist, but he was anti-feminist. So he believed in equality for who? Presumably women didn't focus in his equation.
You have to accept that a friend's views aren't yours. You can argue 'til you're blue in the face but they aren't going to agree with you. Politics, religion, sex. We're all different.
We have the right to be pissed off. Just hear me curse when I read yet more bollocks from one of the professional homophobes. It doesn't make us over-sensitive when our buttons are pushed.
My suggestion after this weekend is turn upside down. Face the wind. Discuss something with a good friend. Get a fresh perspective.