I'm not Lutheran but the best advice I have for Lutherans is for them to leave the ELCA. If they have Ok Pro-gay stuff then they have probably OK a bunch of other stuff also unbiblical in their Constitution. The ELCA denomination has probably become like the Democrats in that they believe its ok to lie to you if their objective are meant.
You are correct on your guesses about ELCA.
It’s pretty much like most of the other denominations - the biggest “community” of the denomination in the US is a liberal one. I can hardly think of any US denomination, except perhaps Baptist or Catholic, which has a predominently “conservative” major organization.