You are mixing the state with the rule of law. It couldn't be more apparent than it is today that the state creates 'laws' that are bullshit. The 'civil tyrants' (oxymoron intended) don't even take their own rules seriously enough to follow them themselves.
The problem the bitcoinist is trying to solve with a fixed-supply currency is the ability of the tyrant to steal from everyone by eroding the value of its currency. The reason bitcoin needs to replace fiat is not because Grisham's law is incorrect but because the cost of fiat is too high. Government issued debt under fiat is a moral hazard, and the government is too corrupt and too uncontrollable to be given this power.
Just because the state has coopted the system of laws and been permitted to declare laws and enforce them doesn't mean you can't have law and justice without the state. The limitations on anarchy to allow for peace and prosperity are only in your mind.
Bitcoin does more than replace the currency, it replaces the role of government. It not only replaces money, it eliminates the need for security, for government courts, for government registrars, for government regulated central banks, and for many other industries that aren't directly run by the government. We aught'nt be trying to find a way for 'THEM' to fix problems for us, but for ways that problems can be solved by digital contracts and programmable money.