Freedom and Order are polar opposite concepts, and equality will support itself if truly free.
I think the perfect example that most could understand from Order, is like Darth Vadar and The Empire. That is Order. Opposite to being free. Being free is like a nude beach, anything goes, and everyone loves you. It seems like most people don't want Darth, but don't want to be naked as well, so they balance the two, and hope for equality.
Being gay is just being in the middle of this, so it doesn't conflict, except for the fans of The Empire who want to tell others how they can live and who they can marry. Basic tyranny type stuff.