The US Constitution doesn't so much as have word one verbatim mention of 'God', 'Jesus' or 'Creator', so you're already fucked from the start.
"but it does allow for state sponsered [sic] church"
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You may now proceed to hand over the keys to the White House, Capitol Bulding & Supreme Court to Her Majesty's PM David Cameron; also 'The Football', the case-like device with the launch & authentication codes to the world's biggest nuclear arsenal to HM's Minister of Defence. Also, your armed forces must swear eternal allegiance to her. Hey, if you're admitting that the 'Great Experiment' - in an independent Republic, post-Revolutionary War, King George III, 'No Taxation without Representation', 'Boston Tea Party' etc - has failed, you might as well, seeing as my country, the UK, has a state religion, the Protestant Church of England. Which the above Queen Elizabeth II is head of; 'Defender of the Faith', and all that jazz. [/"Code Geass"]
...aaaaaaand that's where your argument FAILS. Enjoy your paradox, Dbitch. Seems someone doesn't know their own country's history. Strange then, that I - a non-American - was taught about such things (including the US Constitution) in History class at my British state school.
It says so much about a certain population of a country, when those outside of such knows far more about it's history than a sizeable proportion of that same country's own.