Public protesting doesn't mean Anarchy. if the public cant protest against whatever system is imposed on then then what is use of all these concepts . Socialism,Capitalism and so on. Public opinion should be the base of any system.
Socialism represses protesting more than capitalism, but that's beside the point. In a democracy public opinion is made to count through the electoral system. Going onto the streets and trying to force opinion on people while causing widespread disruption is anarchy.