You talk as if there can't be private entities under a legitimate civil authority. Once again, the problem is the people, not the institution. Having a free market means nothing if there is no public court to appeal to for instances of fraud and theft. Civil judges are necessary to the security of a free economic society. You can't have private entities without public ministries such as civil government.
There have always been private courts. Even in tyrannical, absolutist Russia there were private courts. Peasants of one mir (community, county) would held an election every two years to decide who among the respected men to hire to be their judge for that time. Then they would each contribute an agreed amount toward his salary. This judge was a private citizen and their employee, not a "public servant".
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