More of anarchy. Nowhere near a Libertarian Utopia, as the groups are controlling sovereign people, attacking, raping, stealing, and existing police forces are keeping the normal citizens in check.
In a normal type of anarchy, the best factions will win out. The problem is that it isn't really anarchy, as it is government sponsored anarchy and a weird hybrid of bad.
Currently, Lebanon is the most libertarian and anarchal society. But still have militaries and some gov groups. We will see how it plays out.