There's no reason to try to make this complicated. You either treat gay people with equality or you don't. If you don't treat them as equals you are anti-gay.
If your primary goal is to harm gays you are a hate group.
There is no ambiguity here.
If your primary goal is to harm gays you are a hate group.
There is no ambiguity here.
Of course not! There are many Christian groups that treat women and gays with equality.
The Christian groups that treat gays as lesser people are absolutely anti-gay, though. They may not be hate grouped but they are absolutely anti-gay.