[yttrium]

It's materially different because militant vegans don't try to infringe upon my rights. The difference is that if you were advocating for veganism as strongly, I can point to the fact that nobody is being hurt by that advocacy. If you're strongly advocating that gay people don't deserve equal rights (at best) or don't deserve to be alive (at worst), then it's very clear your position shouldn't be tolerated.

That's the problem with this whole argument chain - there are clear material differences between advocating strongly against gay people, versus advocating strongly against eating meat.

There is no diversity in opinion that includes bigotry - that's just a way racists, sexists, and other hate mongers hide in communities. Your axioms completely ignore the idea that there are opinions which cause harm without any introduction of violence - something anyone in a marginalized or oppressed group can and has experienced.

Diversity of opinion does not mean accepting opinions which directly and indirectly cause harm to others.