Try not to be too disheartened.
I have a decent understanding of both Judaism and Christianity. It is true that all Abrahamic religions refer back to Leviticus to say that homosexuality, mainly in men, is not OK.
However there is what is written and there is how religion is implemented by human beings.
What is written is in a section dealing with treatment of strangers. It could equally be a prohibition against rape and male on male rape. Or it could be read in the context of spilling seed other than in relation to procreational purposes. Instead it's been read in a simplistic way.
I think that culture plays a big part and in most societies in the world, and this society until maybe 30 years ago, the surrounding culture was so generally homophobic that not as many people came out, so it wasn't a big issue that the religious authorities had to invest time in pondering the meaning of those texts. Basically anyone who could just about manage life being straight, would do.
As society has changed and become more tolerant, the religious authorities have started to change with it. Hence there is acceptance in Christianity, there are many gay C of E vicars, Methodists voted for gay marriege in church, the Pope I believe came very close to saying times should change, Jewish non-orthodox movements are accepting, and many orthodox synagogues will also be accepting and love the person, but they just won't quite be able to say the sexual activity is fine. But then nobody is likely to be discussing their sexual activity in a religious venue anyway.
As someone religious put it to me, there are so many issues in life to worry about whether we are doing the right thing, we don't need to be obsessed with that one sexual issue, we can worry about that when we are keeping everything else perfectly.