The basis for our justice system stems from the notoriously pagan Vikings, who instituted trial by jury to keep vendettas from spinning out of control. Also, it borrows heavily from the jurisprudence of pagan Rome. Plus a massive input from English common law, which was quite distinct from the separate system of Church cannon law. We got another big input from yet another separate system -- merchant law, which arose to govern commercial conduct at the market place.
Viking Law, Roman Law, English Common Law, Merchant Law, etc. You may think you've struck upon a mother lode of wild diversity in human thought, but an honest study of history will show that all of these take their shape in large part from Natural Law, and gosh by golly, Natural Law finds keen exposition in the Bible. Our forefathers were especially well versed in both, and their writings reflect the same.
Have to admit, you've assembled further testimony to an incredible amount of order that "undirectedly" arose out of . . . WHAT? Gases? Really you just don't know for sure, do you? You've got to be kidding if you expect the rest of the world to swallow that, and ludicrous if you think such a point of view deserves a monopoly in academic circles.