In some ways there is no question that Judge Moore is right when he says that the Ten Commandments had a role in the course of American law. Heck, IIRC, Connecticut had a period where it instituted Mosaic law as the law of the colony. Many states had heresy statutes. The question is whether the deveolpment of the concept of religious liberty was an outgrowth of this or a revolt against this. The following quote from James Madison seems to be right on point:
I should suppose the Catholic portion of the people, at least, as a small & even unpopular sect in the U. S., would rally, as they did in Virga. when religious liberty was a Legislative topic, to its broadest principle. Notwithstanding the general progress made within the two last centuries in favour of this branch of liberty, & the full establishment of it, in some parts of our Country, there remains in others a strong bias towards the old error, that without some sort of alliance or coalition between Govt. & Religion neither can be duly supported. Such indeed is the tendency to such a coalition, and such its corrupting influence on both the parties, that the danger cannot be too carefully guarded agst. And in a Govt. of opinion, like ours, the only effectual guard must be found in the soundness and stability of the general opinion on the subject. Every new & successful example therefore of a perfect separation between ecclesiastical and civil matters, is of importance. And I have no doubt that every new example, will succeed, as every past one has done, in shewing that religion & Govt. will both exist in greater purity, the less they are mixed together.
The two hundred years of progress towards religious liberty Madison is referring to is from the birth of the colonies through the early Republic. Two hundred more years have past and there are still many, like Moore, who are biased towards "the old error"