Confession time. Yes, LGBT people are absolutely making a choice. They are choosing to be the most honest, authentic versions of themselves. The only relevant choice for straight Christians is whether we are willing to examine both our personal opinions and our theology accordingly. The choice is ours.
On the traditional interpretation, the moral of the Exodus story is that slavery is evil. This moral conveniently allows us to do nothing but gratefully savor life in a free country. However, if the Exodus story is about hard, harsh labor and Egyptians who deserve to be stripped, then we have work to do.