> Ayn Rand
Is hardly an example of what you're describing. She explicitly supported property rights and the non-aggression principle.
It's interesting, though, that she refused to identify herself as a libertarian because she saw those who did as anarchists. So she apparently had the same kind of misconception about libertarianism that you do.
Not to mention that objectivism and libertarianism are not synonymous. “Libertarian” isn’t even a great label considering that it lumps in everyone from Hoppeans (“libertarian” fascists) to Georgist UBI proponents to minarchists to Tea Partiers to Glenn Greenwald. You’re not going to find a lot of common ground across those demographics except for a desire to maximize some definition of individual liberty, in a general sense, and a shared distaste for government intervention.