However, if you refer to other founding documents such as the declaration of independance, you'll find Christians mentioned there, and no mention of the gays.
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A full text search of the Declaration of Independence fails to turn up the word "Christian".
But Article VII dates the Constitution in "the Year of our Lord one thousand seven hundred and Eighty seven." Who do you think that's referring to?
Is the Constitution unconstitutional? Based on the logic of some of these judges lately, yes.