Let's say you find Aladdin's lamp, and you wish for the world to have perfect Libertarian .gov in place. Setting aside foreign policy considerations for the moment, what do you think people's reactions would be? If they didn't like some aspects of it, and wanted to get those statist jackboots on and oppress the poor widdle zoophiles: how would the .gov react to this? Ignore the will of the people? Exclude them from the process and give them no means to influence the .gov? How do you think that would work?
My answer is a bit simplistic but I'll answer it:
1. I don't think you're ever going to get "perfect anything" so I think that's a fool's errand even if I had Aladdin's lamp. I think however if you had Aladdin's lamp (overthrew the government, got Ron Paul elected), etc., you could get a government that is libertarian
as a principle, in the way in which the modern US is still a Republic (although imperfect in places), and is still a broadly capitalist economy. That's to say, for example, most drugs would be legal but maybe not dueling, etc. A thing that is not perfect but is still excellent.
2. I think that if you instituted libertarianism for a meaningful time period (say a few months), you'd get people who have a vested interest in whatever is now going on. Just like how IRL you have America's gun owners lobby and protect gun rights because they own guns and have an interest in the system, and how correction officers' unions lobby to protect mandatory sentencing, and the porn industry lobbies for free speech, you'd have the people who are freed to do their own thing protect their freedom - the people who will be making the now-legal drugs, guns, owning brothels, lawn dart manufacturers, dueling hall owners, etc. Even granting "libertarianism is a bad idea" (which I do not) there'd be more people defending it if was even momentarily in access to "power".
3. Everything is incompatible with representative democracy. Literally everyone whines about limiting the franchise when their side begins to lose.