Well anarchy can't happen overnight like that, it's a philosophical evolution so it will take time. You're right most people are too broken/indoctrinated and can't or don't want to govern themselves (be free).
If it were to happen relatively quickly, like in a few weeks or months, and gov enforcement arms were dissolved, then I believe smart, hard-working entrepreneurs would quickly provide every service imaginable that people want and use today, ie. security, transport, power etc.
Imagine if people in your community needed help or wanted a service or product that you could provide. Wouldn't you?