You don't have to be anti-Democratic to be an anarhcho-libertarian.

I agree.

First off, have you watched this?

And Clayton sums up law and recourse really nicely here and here.

Ancaps have no problem with coercion, as long as it isn’t aggression. Coercion is a perfectly just response to aggression.

Read Rothbards For A New Liberty chapter on police starting on p. 219. Private police can act when they see a crime.

There is no such thing as the rule of law.

AnCaps have no problem with governments, only with the State. Wikipedia: Democracy is a form of government in which all citizens have an equal say in the decisions that affect their lives.