If this is the kind of anarchy you envision, you're going to be sorely disappointed if something like that happened in real life. Real anarchy would look more like how people would react if zombies broke out. There would be mass looting, killings, raping, and people taking advantage of the chaos (opportunists). It would literally be the wild west with all services, including power and the internet going down.
The "anarchy" in Mr. Robot is a falsehood, it's a libertarian/hackers fantasy. That's not anarchy at all. Not even close.