I'm tempted to argue that, not only is there no separation, but there is only "church", no "state" at all, childish as these archaic axioms are.
That's what the Common Law system is, a system of "religious" or "moral" imposition on the people, at least for those who won't be moral on their own free will without fear of the law.
And regardless of the archaic and false dichotomy between "religious" or "secular" or whatever, usually using archaic, outdated, or nonsensical terms and definitions of things like "religion" to begin with, even "secular" systems or religious or moral philosophies, of course, are based on faith-based axioms or beliefs which are blindly held to be absolute or fundamental to the belief system (such as the statement of principles of Secular Humanism, or other secular philosophies or ideologies).
Much as the silly, quaint, and archaic idea or outright lie that "religious" systems or faith based axioms developed or were invented "in a vacuum", entirely abstracted from whatever pragmatic or consequential purposes they served, is rather silly. (Such as laws against murder, not only being a sin in world religions, but a practical harm to individuals, societies, families, communities, and so on, which likely why laws against murder exist in the context of world religions or their legal systems, as well as contemporary or "secular" ones like the Common Law, which evolved out of older legal systems, such as that of ancient Rome, Exodus, and others0.
