A common misconception. Because they created a Federal government with delegated powers doesn't mean that was their view of all government. They had established churches. The laws in the states in the early Republic would be anathema to libertarians. The closest thing to libertarianism at the time was Jacobinism. It was feared and hated. Paine endorsed it, almost paid for it with his head and was shunned by nearly everyone as a result of his ideology.
Conservatives as well, given the legal status of women and blacks at the time.