I would say that’s roughly the relation, although Libertarianism/Anarcho-Capitalism aren’t really the current property relations - they aspire to become the property relations.
And they don’t actually require genocide, but they would require closed borders or separatism. Libertarianism and Anarcho-Capitalism fundamentally require sufficient cultural belief or social power mass in order to be implemented.
Forbidden racepol writers have analyzed how long it takes immigrant groups to go from wanting higher state intervention than the local mean to wanting something closer to the local mean in America, and from what I recall, we’re talking generations. (Cultural, not genetic.)
So the hard economic rightist has two options - create or modify a state such that the population is majority economic rightist and stays majority economic rightist (strict borders), or abandon democracy.
Of course, I’m not a Leftist so I don’t see it in some of the same collective intergenerational ethnic justice terms about the evils of Capitalism. Collective intergenerational ethnic justice, after all, is the basis of many an “ethnic tension” random violence feud.
Fortunately I’m not a Libertarian, either. I want better government intervention.