Objectivism and anarcho-capitalism,
there is some common ground, but they are certainly not the same.
Atlas Shrugged readers will recall a description of the Gulch
There is government but not much of it.

Another point- the first comment on the reddit link is on,
ownership over ourselves, then asks, Surely this is circular
This is correct, the concept has value as poetic bombast only, Objectivism has no need of it wherever it comes from.