Welcome to this forum.
Before I dive into responding to your question, may I address a matter of semantics? The same Christian Fundamentalists who are anti-gay also use the word 'homosexual' in a negative way, which is why many prefer the term 'gay'. It has a different connotation being less medical and more user friendly. This is why there is a 'Gay Rights Movement' and not a "Homosexual Rights Movement'. One never hears the term 'anti-homosexual'. And why is that? Because religious conservatives are often hung up on the 'sex' in homosexual and certainly don't want those people to be happy or 'gay'.
I hope this makes some sense.
Now. To your concern.
I grew up Pentecostal and left that faith after I came out. Many do. They head for the door on their own volition or they are thrown out because of the animus they encounter. Some try to stay with the faith they were born into. And this can be a hard road to walk the more conservative the setting.
My head turned towards the East after I left the Church- and I found myself interested in Buddhism - which has no Ultimate Being or God - and meditation and yoga.
The Dalai Lama has said that his religion is kindness, and that seems about the most pithy statement I can think of in regard to this question of gay people and matters of faith. It's common ground that we can all stand on.
Be the love you seek.