While I appreciate @HeartofDixie chiming in here and I don’t want to gang up, I think the “love the sinner, hate the sin” thing is not tolerable. First, it labels someone a “sinner” and thus inherently bad. Then there’s the whole thing about “hating” a characteristic about someone that they have no control over.
Ultimately I don’t think there is a middle ground for people whose religion tells them that homosexuality is a sin, even though so many of these same people give other sins or other sinners a pass. I think this all comes from a place of fear and that even a small passing reference to a gay person in a cartoon is felt to be threatening. Until these folks understand that we are all in this together and there is no war on religion, but rather a crusade for tolerance and acceptance for all beliefs, then we are going to continue to see stuff like Alabama PBS stations censoring things like this. But I do think times are changing.