We don't "stereotype" in any sense of assuming that all individuals of a certain type, here, who experience a certain passion, are alike.
I don't think either of you have fully delved into the teachings of the Church. If you did, you would discover the compassion. You would discover that we don't label people "gays" or pigeonhole them. That the passion is rightly condemned but the individual is rightly to be loved and accepted like all others - though approval of his passion is NOT.
When you come into the Orthodox Church, AJ, you are NOT "gay". You are a man in need of salvation like all of us. Like the rest of us, you have wrong desires. If what you are looking for is approval of those desires, you are just plain not going to find it.
You have to want God more than you want your passions. As long as your passions are priority over God, you can never attain heaven.
That said, it follows naturally from that that we do NOT approve of lawless violence. It's no use telling us to disapprove of it. We do. But it's no use telling YOU we disapprove if you refuse to see that we must also disapprove of all sinful passions, including the desire for the same sex.
The Church has been around for two thousand years. There have ALWAYS been fringe groups claiming things in the name of the Church and they have never changed the Church as a whole. Yes, the secular centrally-controlled media do aim to exaggerate those fringes, but that is only a matter of false perception. The damage is actually done by the media, not by the Church itself, and yet the Church always rises again from such attacks. The faithful can only do what they have always done: pray for the grace of God and try to live according to the Gospels.
But those Gospels do condemn sodomy, and the unnatural love of men for men, along with other sins that most of us are guilty of, somewhere or other. So looking for a Christian faith that approves of such things is vain. If you find it, it is not Christian.