Your first sentence is similar to saying that if the Mafia moves into your neighborhood and starts demanding protection money, then you consent to their abuses

Your first sentence is similar to saying that if the Mafia moves into your neighborhood and starts demanding protection money, then you consent to their abuses because you continue to live in your home. That's intimidation, not consent. There are plenty of alternatives to living under a monopoly of violence (a state). Anarchy means "no ruler". Thus, by definition it doesn't tell people how to live. There is no central "plan", dictated from on high, though that doesn't mean there are no rules. The premise is that individuals should be permitted to organize themselves, to experiment and make room for diverse forms of society. Another term for this is polycentric law. How to implement? A great start would be to make taxation voluntary by cutting them from the top down. Allow people to not pay for the War on Drugs, the War on Terror, government compulsory education, corporate welfare, or the numerous other unethical, irrational failed policies forced upon the population. The state is not needed for society to function -- in fact, I'd argue it's a parasitic hindrance that's convinced its host of its legitimacy and necessity. Since anarchist philosophy can't exactly be boiled down into a single HN comment, I'd suggest reading Kevin Carson, David Graeber, Stefan Molyneaux, Noam Chomsky, Proudhon, Bakunin, and other well known anarchists if you're serious about learning more.