He says he is not because he treats gay/trans people equally but doesn’t support their beliefs. Is this still homophobic?

no it is not homophobia/transphobia is fear anger or disgust for them your father respects them

No, I don’t think it is. Say that a Muslim person treats others as equals no matter what religion, but doesn’t support Christianity, is that being unfair to Christians? No, because they aren’t trying to offend or insult them

Ok