A complete tear-down simply confirms the end of the status-quo, with no implication of anything better rising from the ashes.
Most anarchists would advocate a strategy of ‘prefiguration’, often summarised as ‘building the new world in the shell of the old’. You don’t have to tear down the old system before you start building its replacement.
In anarchy, those with power reign supreme over those without. Most power and resources are already consolidated in a tiny minority.
Once a society has reached a condition of anarchy, there would, by definition not be a tiny minority with a concentration of power and resources. Anarchy means no rulers/authority.
Ask 'em!