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.
As a gay Christian, I have only faced true discrimination for one of these identities. Here's a hint: It's not Christianity. When I tell someone I'm Christian, they don't come up with a series of offensive questions and remarks. I have never felt threatened or in danger when praying or practicing my Christian beliefs. Christianity is not an oppressed identity.