NoahChai [The Universal Traditions of Abraham's Household] is a combination of the teachings of Rabbi Abraham Isaac Kook, Rabbi Joseph B. Soloveitchik, Rabbi Ahron Soloveitchik, Rabbi Yehuda Amital, Rabbi Samson R. Hirsch, Rabbi Elijah Benamozegh, Rabbi Samuel David Luzatto, and Rabbi Menachem Meiri.

And intellectual heirs of John Selden, Hugo Grotius, John Locke, Isaac Newton, and Americans (George Washinton, Benjamin Franklin, John Adams, Thomas Jefferson, James Madison, and Abraham Lincoln) who understood Religion (Theistic Rationalism) as inherent to human nature, as the basis for Natural Law and Rights, and a prerequisite to a Civilized and Free Society.

Everything [that the descendants of Noah were commanded] is a matter of common knowledge; the Torah did not require them to study the fine details of the law, 'He declares His word to Jacob, His statutes and His ordinances unto Israel. He has not dealt so with any nation; and as for His ordinances, they have not known them.'

Rabbi Abraham Yitzchak Kook, Etz Hadar, ch. 38, p. 184

The love of fellow men must burst forth from the source of lovingkindness, not as a matter of law, for then the clearest part of its brightness would be lost, but rather as a mighty inner movement of the soul. And it must endure very difficult trials, to overcome many contradictions scattered like stumbling blocks in isolated teachings, in the superficiality of several laws, and in numerous conceptions that arise from the limited expression given to the esoteric part of Torah and the national morality.

Rabbi Abraham Yitzhak Kook, Orot Hakodesh, III, p. 318

Do Not Waste or Destroy - Bal Tashchit
Do Not Cause Wanton Suffering - Tza'ar Ba'al Hayyim
Friendship and Community - Chevra
Family Harmony - Shalom Bayit
Dignity of Fellow Creatures - Kevod ha-Beriyos
Sanctify G-d's Name - Kiddush Hashem

Ha-Adam/Individual/King/Commandments-General/Branch (Bnai Noach)
Adam/Collective/Court/Commandments-Specific/Root (Bnai Yisrael)