"Libertarianiasm" is no more un-American than "Republicanism" or "Democratism".
Neither "Republicanism" or "Democratism" advocates eliminating all social programs.
The Libertarian party does!
Platform Libertarian Party
Progressive Democrats are pushing for the government to be involved in virtually every aspect of your life from birth to death. You think that's any better?
Repubs are trying to control the actions of adults within the confines of their own homes and bedrooms? You think that's any better?
Libertarianism is just another term for a 3rd world nation where only the wealthy have access to healthcare, justice, quality living standards, etc, etc. Even Communism is better than Libertarianism.
That would be the likely outcome.
But libertarians believe that men free from the 'restraints of government' and no longer subject to 'government interference' would create a Utopian society of mutual respect and prosperity free from want, poverty, and violence.
It's nonsense, of course, but this is what they nonetheless believe.
And it's true that libertarians are not 'anarchists,' nor do they seek to 'get rid' of all government – just remove from it virtually all power and authority, the Federal government in particular, where it acts rarely in international affairs and even less rarely concerning domestic issues.
Indeed, it's to the Federal government libertarians are the most hostile, less so to state and local governments.
Of course this is where they run afoul of the original intent of the Framers: that the Federal government, Federal laws, and the Federal courts are supreme and binding on all the states and local jurisdictions – and wisely so.
Every American is a citizen of the United States first and foremost, the states and local jurisdictions subordinate to that, where one does not forfeit his rights merely as a consequence of this state of residence.
Consequently, the Founding Generation sought to have their liberties safeguarded by a Federal government and Federal Constitution that compelled the states to acknowledge those rights, and afford citizens residing in the states recourse via the rule of law to seek relief when government overstepped its mandated authority.
In the libertarian 'Utopia,' therefore, citizens would have no recourse in the courts to defend their inalienable rights from attack by the states and local jurisdictions, acting at the behest of the 'will of the people.' Indeed, this is in direct conflict with our Constitutional Republic, where citizens are solely subject to the rule of law, not men.
It's therefore easy to see just how wrong libertarians have it, they exhibit contempt for the Framers' original intent that the people have a direct and unfettered relationship with their National government – a government they themselves created – absent interference from the states.