As another poster showed, the Declaration of Independence, among many other writings of the Founders, is loaded with theistic language.
There were very few avowed atheists at the time the Constitution was drafted. The article you cite, indeed the entire Constitution, makes absolutely no mention of atheists or pagans. The intent was to see that membership in any particular sect was not required for office, because there were many sects in America at the time, almost all of them Christian.
Your reasoning is exactly that of the liberals who find imaginary justifications for abortion, property seizures, unconstitutional governmental programs, etc.: You read in things which are not actually in the text.
The DOI is NOT the Constitution. The DOI is not the governing body of the USA. It is a nice 'declaration', but it has no force of law. Protestors make declarations all the time, but they are not laws.
The article you cite, indeed the entire Constitution, makes absolutely no mention of atheists or pagans. I only cited the Constitution of the United States. What article do you pretend that I cited?
When one assumes office under our Constituion, one pledges to uphold it over all other faith beliefs. We are a Republic of laws. Faith beliefs do not trump laws.
The Constitution makes no mention of Muslims, Buddhists, Hindus, Wiccams, Native American beliefs or pixies. What 'lesson' do you intend to derive from this? That your God is favored?