There’s also a distinction to be made between social liberalism and economic liberalism (classical, neo, various forms of pro-corporate Libertarianism).
Both do recognise the monopoly on violent coercion as a defining feature of the modern nation-state (many progressives do, too), although they differ on the definition and level of acceptability of the violent coercion itself (e.g. economic liberals see regulation of corporations as onerous, social liberals find it acceptable).
In terms of American politics, you’re correct that the Dem establishment still subscribes to a “lite” version of the neoliberal economic consensus, while the GOP are various degrees of neoliberal fundamentalist.
“Sovereign citizens” reject the state’s monopoly on violence, but unlike left-anarchists they take that position mainly because they hunger to commit real violence themselves without facing consequences. As this murderous goober who killed his landlord with a sword is about to find out, all the flag-fringe theories in the world won’t keep him out of prison.
