Christianity neither is, nor ever was a part of the common law.
"But besides the danger of a direct mixture of Religion & civil Government, there is an evil which ought to be guarded agst in the indefinite accumulation of property from the capacity of holding it in perpetuity by ecclesiastical corporations. "
"History, I believe, furnishes no example of a priest-ridden people maintaining a free civil government. This marks the lowest grade of ignorance of which their civil as well as religious leaders will always avail themselves for their own purposes."
"Ultimately, America's answer to the intolerant man is diversity, the very diversity which our heritage of religious freedom has inspired."
Is America God based Christian government, or a theocracy to be more precise?
Even if everyone one of our current elected officials, and our founding fathers were strongly religious, which is/was not and is not the case. This still wouldn't make America or the founding of it a God based government.
Overall, because of the mindset that rules American government (compromise) and religion (faith) would it make the goal of an American theocracy highly improbable. Faith calls for certain absolutes, with compromise absolutes are much weaker, if not non existent .
Though elected officials and Christians may have compromise and faith. Both mindsets can not be interchangeable as ruling mindsets.