Hate doesn't enter into it, unless you take a pretty damn expansive view of what "hate" means. I think Christianity is damaging to society, but I don't hate anybody.

that lead to emotional responses instead of intellectual discussions.

So? Not every discussion is some deep intellectual debate which needs to be held to rigorous academic standards. Sometimes people are just talking and sharing observations.

But statements like yours are equivalent to Christians walking around claiming that all gays are evil and will burn in hell.

Not really.