Not everyone has to like homosexuality just because they are told they must.
I think the point is, adherence to religions like Islam and Christianity with dogma that outlaws homosexuality, causes 'deep hatred' for gay people, as the OP outlines.
Can that be good? Can it be a good aspect of religion to cause 'deep hatred' among groups of people? Gay people aren't going anywhere. Is it best to carry on with deep hatred, or would a better way to live life be to come to an understanding and peaceful acceptance that people have varied sexuality and to each their own?
No one is saying you have to "like homosexuality." The point is God's religious mandate in the Abrahamic texts to kill gay people has caused out species unnecessary hatred and violence for far too long.
I don't "like homosexuality" any more than I "like seeing obese people at the beach." I'd prefer not to witness either. But I'm not going to run around saying fat people at the beach shouldn't get married and fat people at the beach are dirty sinners, simply because I'm not a far of the visual.