I think article XI of the 1796 treaty between the USA and the Bey of Tripoli expresses the founding fathers view of the relationship between Christianity and the constitution quite well:
As the government of the United States of America is not in any sense founded on the Christian Religion,-as it has in itself no character of enmity against the laws, religion or tranquility of Musselmen,-and as the said States never have entered into any war or act of hostility against any Mehomitan nation, it is declared by the parties that no pretext arising from religious opinions shall ever produce an interruption of the harmony existing between the two countries.
http://www.yale.edu/lawweb/avalon/diplomacy/barbar y/bar1796t.htm
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I think article XI of the 1796 treaty between the USA and the Bey of Tripoli expresses the founding fathers view of the relationship between Christianity and the constitution quite well:r y/bar1796t.htm
As the government of the United States of America is not in any sense founded on the Christian Religion,-as it has in itself no character of enmity against the laws, religion or tranquility of Musselmen,-and as the said States never have entered into any war or act of hostility against any Mehomitan nation, it is declared by the parties that no pretext arising from religious opinions shall ever produce an interruption of the harmony existing between the two countries.
http://www.yale.edu/lawweb/avalon/diplomacy/barba