"It's not hate to say homosexuality is a sin, because it is."
No, that's hate.
"It's not hate to say that homos are greatly over-represented in the child-molester population, because they are."
You are correct. It is not hate to say this if you honestly believe it to be true. It is, however, a lie, and the lie is hateful. This is therefore hate on the part of the person who originally told you this, and mere gullibility on your part.
"It's not hate to say that many homo leaders are terrorists, because they are."
I don't even know what to say about this one. Usually when I see this, what the speaker means by "terrorist" is merely "activist." I'm going to assume that the same situation is occurring here and declare that this is not hate, just malignant stupidity so metastasized it is likely incurable and terminal.
"It's not hate to say that homos are more abusive, because the stats show they engage in more domestic violence."
I've seen conflicting data on this. It may be true that, per capita, homosexual relationships are more likely to be physically abusive, but I remain skeptical. It's certainly worth investigating.
"It's not hate to say that homos are trying to tear down marriage, because they are trying to "redefine" it."
Ah, good. I am glad that we finished up with some good old-fashioned hate. It's good to bookend hateful lies with balder, more honest hate so that we know for certain that you have an agenda and are not merely an honest dupe. This way we don't waste time correcting you.