I think it's everyone's right to debate what's right and what's wrong. It's how we figure out what is right and what's wrong (or what simply is) instead of just saying that whatever we want to do and whatever feels good is right regardless of how it affects others or any damage - obvious or otherwise - that it causes. Just think, if we never argued ethics, even things that we already agree or disagree with, we'd have significantly more bad things in our midst simply because we never bothered to look at them with a critical eye in the name of "tolerance." Maybe less good things, too.
I'm bisexual and I support the right of the opposition to peacefully disagree and protest because of what their ability to debate right and wrong supports in the big picture. A lot of arguments on both sides are pretty poor, though, and when people bring violence into the picture it's a whole different story.
I've spent time in communities where debate and criticism are smothered, and it's terrifying. I grew up in a spiritual community so intent on never offending anyone or being intolerant that nobody even dared speak out against people who were leading members as young as 11 (me) into dangerous practices to feel powerful. "Tolerance," in its bastardized form, stripped me of my identity for years when those illusions crumbled because to argue with what people believed and enjoyed even if something didn't seem right or clashed with their own beliefs and values would just be mean, right? I don't agree on the topic, but we need the ability to argue. Right now it's something we think is fine, but we can't cherry-pick what does and doesn't get the once-over or the thousand-over.
Defend the topic and defend it well, don't attack the opposition for being opposition.