As John Adams said: "Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other."
He meant Christians and Jews.
Many other world faiths would play along well with this kind of system too, because it needs only outward fealty to good conduct, not the kind of inner commitment that is shown by a believing Christian or even a believing Jew. Most Hindus, Buddhists, Sikhs, etc. would have no problem here. Rank libertines would, as would jihadist Muslims.