Could you elaborate on what you are trying to say about the LGBT movement? I am assuming you are referring to the fact that Democrats basically don't accept people who are anti-gay. If I'm wrong just let me know. I don't think you need to be anti-gay to be a Christian.
A good Christian sees the world, based on love. Love ignores our differences; love your enemy, and looks for commonalities to help maintain the ambiance of love.The Democrats like to promote identity politics, which causes the mind to think in terms of distinctions. These distinctions can separate us. Instead of saying we are all Americans, they prefer point out ethnic and racial diversity, forming dozens of smaller competing groups. It is a way to peel off votes from the collective herd. It may have political use, but it also has negative social consequences that divides us.
For example, say we were at a party with all types of people, from all walks of life, who don't know each other. The food is good, the music is smooth, the comedians are hilarious, and the party goers are all enjoying the moment. This party is a clean slate, where we can all be friendly with each other, no matter what secret each holds, behind the friendly smiles.
Say someone, who knows everyone, started to move around the party, pointing out differences we were not aware of. This will have the impact of dissociating the group. One may say, Joe was a funny guy, until I found out he voted for Trump. Or Laura was so sweet, until I found out this was her fourth marriage.
The party started with one large group of strangers all having a good time; ignorance of their differences was bliss. If we start to point out differences like sexual orientation, political view, religious convections, employee or employer, the unity of the party starts to break down. Knowledge of these differences can divide. This division can get worse if, after people divide, each teams starts to promote these differences even more. You can have a nice conversation with the CEO of a large company, until you learn he is the CEO. Then it might get awkward for you or him. It would have better, not to have said anything, so you don't feel the need to form to separate teams.
It useful to think in terms of large scale teams, like being an American or better yet being an Earthling. Beyond that don't ask or don't tell, so you do not risk creating opposition, due to distinctions that are not that important, except to those with self identity problems.
Try an experiment at home. Find a group that has a narrow common identity. Once you figure out the lay of the land, go along with group think. Next, make a distinction between you and them, and wear that distinction, loudly, like a badge of honor. See what happens! The Democrats not only divide with identity politics but teach each dissociated group to wear a uniform, so nobody on either side can forget the distinction. This gets in your face, so you cannot forget, and return to the original party of friendly strangers. The LGBT uniform is too loud to go to the party of friendly strangers.