It still sounds, then, like you'd be okay with the example in question: a billboard saying you're mentally ill, grooming children for sexual activity, and should be executed.

Because again, that is exactly the rhetoric we're discussing: Rhetoric which says 'X is mentally ill, grooming children for sexual activity, and should be executed'.

If it's okay to say it when X is an LGBT person, or all LGBT people, then it is also okay to say it when X is you. So why try to sue for something you are okay with?

Conversely, if it is inappropriate censorship to try to moderate such messaging when X is an LGBT person, or all LGBT people, then it is also inappropriate censorship to try to moderate such messaging when X is you.