You'd think that this would be a given, and for a while it was. Then we made a Faustian bargain with the government-worshiping politically correct crowd. Not only did we thereby alienate some of our natural allies, but also, back in the golden age of politically correct silliness, I even heard some LGBT activists downplay or even dismiss the importance of reforming sodomy laws, of all things.
Of course, all of that adoration of big government automatically follows from LGBT liberation. No, you may not ask how; it just does.