Laws never do away with any sin. Laws control sin to keep sin from overcoming civilization.
So, what other things are part of the human race? Murder, rape, adultery, stealing, arson, and the list goes on. Under your philosophy, we would eliminate laws against these also. Your philosophy is pure liberal philosophy.
I would say your philosophy is authoritarian tyrant, a far cry from limited government conservatism. Pass all the laws you want, just like with murder and stealing and arson and adultery and all the others, although the crimes of murder and violent aggression are in a different class than adultery and homosexuality, I do truly hope you agree.
I guarantee you that 5,000 years from now, all those vices will still be evident in any race of human beings. Laws don't prevent them -- behaviors do, values taught in religion, do. As for the effectivess of laws, they've been chopping off the hands of thieves in the Middle East for centuries. Yet thievery there still exists.
Libertopian philosophy is nothing like Christian philosophy, it is more opposite than alike
So you think that the Christian "conservative" approach is to advocate for law that aggressively pursues and hushes any outward evidence of homosexuality?
I'd rather STOP and RESTRAIN law that would, for example, punish a theme park for refusing to allow openly gay men in where children were present. It should be LEGAL, and protect right, that a theme park could do just that, and a school could absolutely rise up and slam the door in the faces of "gay pride" advocates without worry of the state or federal "moral" government punishing it for being homophobic.
Laws don't control sin -- they punish offenders. Laws are necessary, they are right, in that respect. Capital punishment I believe in fully because it isn't punishment, it's an example of a law keeping something bad from overcoming again.
The Founding Fathers didn't include laws against all kinds of things in the Constitution. They trusted it to their moral Christian compatriots to do it another way, and they did. Your "libertarian" template is badly flawed, I think, unless I read you wrong.