I prefer a world in which the government serves to protect our life, liberty, and property, to a world in which people use the government as a vehicle for enforcing their moral agenda, be it the Christian Church, the LGBT movement, feminists, etc.
It would be wiser to push the live and let live standard because that is the standard by which people who disagree can coexist peacefully, and it was for a while the standard of the LGBT movement.
It is in fact the standard behind the Founding Father's separation of church and state, because there's mutual protection in that. I don't get to push my church on you and in turn you don't get to wield the law as a sword against my church.
It's a mutually protective and peaceful idea.
But some people have this weird view that they can make the argument that "other people have no damn business pushing their morals on me through the government, but I can push my morals on them through the government because my morals are the right morals, I can act in a way I would not accept from those other people because my morals are the right ones." Except I can guarantee you they think their morals are the right ones too, and they will not cuck to you and acquiesce to not pushing their morals on you through the government if you have no intention of not trying to use the state as a moral weapon against them.
Individual sovereignty under the law is what people expect for themselves, and what people use to argue against morals they don't agree with being pushed on them by law... but too many people aren't willing to extend that standard to the people they disagree with, and are more than happy for the state to be used as a moral weapon so long as it's enforcing their morals.