Oh, indeed! I live in Michigan where we still have a law on the books criminalizing sex between people of the same gender. (It also criminalizes women giving blow jobs to their husbands, and other forms of non-procreative sex, basically anything that isn't penis in vagina.)

That law can't be enforced right now, because a couple decades ago the Supreme Court declared it and all such laws unconstitutional.

But since some Supreme Court justices have explicitly stated they think that decision needs to be overturned on principle, Michigan legislators are trying to overturn the law — just in case.

Guess what institution is opposing them tooth and nail? Why, the Michigan Republican Party, natch. They don't want it overturned! They're hoping the Supreme Court makes it possible to to put same-sex couples in jail again, along with anyone else who doesn't have sex the way they think people should have sex.

Because they want to control people's private sexual lives.

Conservative? In a way, I guess. But not the sort of libertarian-based conservatism you're writing about, for sure.