Thank you for the questions.
I believe you have made some broad statements and false presumptions.
First, this combination of letters (LGBT) is a brand new title to presumably include people who experience the disordered feelings of being attracted to the same-sex as well as people who may feel a desire to be the opposite sex. I'm not sure what you mean by up in arms and against, but the Church loves these people, as she love all people.
Everyone, this side of Eden, has disordered inclinations stemming from original sin and Christ came to offer us the grace to overcome them. It is out of love, that the Church teaches the truth about human sexuality and the behaviors that violate human nature such as sodomy and mutilation. Loving your neighbor means seeking the good of persons, not condoning what is bad for them just because they may desire it.
Not only does the Church stand firm on teaching the truth about the human person and sexual love in the midst of strong cultural fads and diversions throughout history, but she is more and more becoming the only voice in the modern world that consistently does so.
That is because Her teaching and sanctifying authority is not merely human, but divine.