I wonder what you make of this from Article VI of the Constitution:
No religious Test shall ever be required as a Qualification to any Office or public Trust under the United States.The Federal Government was constituted by Christians, but they didn't form a Christian Government as most of the States had done.
ML/NJ
I wonder what you would make of the Northwest Ordinance, the many days declared by Congress as days of “Thanksgiving and Humiliation”, the holding of Christian services in the Capitol, the use of the Bible in DC’s schools under Jefferson, etc. The point about the religious test is clear if you understand the history of Anglicanism in Britain and the English CIvil War.
The government understood itself to be free to be Christian in a non-denominational fashion. In fact, even the Treaty of Paris, which formally ended the war, began with the words “In the name of the Holy and Undivided Trinity...”
I do agree with you that the US government wasn’t Christian in the sense of the English or French governments. Perhaps we are arguing past each other.