Having not read through the thread to see others' responses, who said that God hates gay people?
There's some background material on this as a thread running across about nine hundred years in a book called "The Bible". In the Bible, God is invoked as the source for a lot of human reason trotted out as "commandments of God". Sure, it professes to represent the views of people from Abraham to the Christian apostles, but the OT was compiled under the orders of Solomon in his campaign to render the Israelite lore into a state religion, so it represents potentially serious editing.
Abraham, however, is presented as pleading with God to not destroy the reputedly gay cities of Sodom and Gomorrah, and the Israelites coming into the "Promised Land" were allegedly instructed by God to destroy the gay Amorites and other gay bands of inhabitants some one thousand years later. The Israelites grew weary of trying to do that genocide, however, and were still fighting the gay Philistines four hundred years later. . . . and in the days of Jezebel, practically the whole Israel nation was gay itself.
So no matter how some may make pariahs of the LGBT folks, you can bet they'll keep coming into fashion from time to time no matter what efforts can be made to marginalize them or drive them back into the closets. . . . and God will always be invoked as either being fer 'em or agin 'em.
Moe was being cute when she said it, but it does appear God has singled them out for the special punishment of being infertile couples. . . .others may invoke Darwin on the survival of the fittest if God is too obscure a character for rational expositions of nature.
The whole of human history is not linear, but cyclical, with successive generations or eras essentially rejecting their immediate past in favor of some "new" fashion of thought.
Welcome to the merry-go-round.