While it is true that America was not established as a theocracy, it is intellectually irresponsible to try and persuade anyone to the belief that America was not a country established on Judeo/Christian principles and values.
One doesn't have to look very hard to see the huge impact that religion had on the life, the resolve, and the decisions of many (if not most) of our founding fathers. While they did recognize the danger of a theocracy, (religion is susceptible to human corruption just like anything else) without question the great men who established this Great Nation and its Constitution also recognized (with equal zeal) the danger of a country without any religious beliefs whatsoever.
"We have no government armed with power capable of contending with human passions unbridled by morality and religion. Avarice, ambition, revenge or gallantry would break the strongest cords of our Constitution as a whale goes through a net. Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other." | John Adams