How SHOULD society react? With compassion and firm boundaries.
Again, the community appears to be divided primarily between those who by virtue of the circumstances of their birth have no immediate choice in the matter and those who chose their behavior. So each part of your answer fits nicely into one or the other of those two groups.
There appears to be at least two models of therapy. The key for society then, is to identify which of the two groups a particular individual is a part of. With a careful approach that should not be difficult.
When an individual "immediately rejects your efforts to reach out as soon as they realize you don't condone their sin", it is probably wisest to not lead with biblical verses.
I endorse setting firm boundaries for the "choice" segment. Unfortunately, society is proceeding from a weak position in that regard due to the many liberal, indeed anti-MAGA forces that have caused it to embrace among other things, same-sex marriage.
We may not be fully on the same page here. The origin of same-sex attraction is not important. Behavior is what matters and it seems to me that anyone from either of your groups could choose abherrent behavior.
When an individual "immediately rejects your efforts to reach out as soon as they realize you don't condone their sin", it is probably wisest to not lead with biblical verses.
True, but it is a moral issue. If you chose not to appeal to Scripture, you would have to appeal to something, natural law maybe. It can be done.
It also occurs to me that this happens most of the time when talking to liberals - as soon as they realize you don't agree with them, they cover their ears and run screaming from the room.