There are many disagreeing takes on everything from folks who identify as anarchist, but "no government" doesn't mean "nothing the government does should be done at all."

Instead the idea is to foster organization of society such that relationships of domination are minimized. Some frame this as the development of a much more active and empowered "civil society" of negotiation, production, and problem solving that, in its approach, is fundamentally at odds with and hampered by the authority-oriented organizational model of government.

And the notion of direct action emphasizes the difference between petitioning representatives to change the world on one hand, with taking up responsibility for action and organization yourself on the other.