Yes. It's also incompatible with the American form of government.
America's first premise is the self-evident truth that all men are CREATED equal, endowed BY THEIR CREATOR with certain unalienable rights.
Take away that foundational cornerstone and the whole edifice falls down. No God, no respect for the unalienable rights of those who are made in His image, and ultimately, no enjoyment of any sort of true liberty.
"Art. 11. 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 tranquillity, of Mussulmen; and, as the said States never entered into any war, or act of hostility against any Mahometan 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."
- Authored by American diplomat Joel Barlow in 1796, the treaty was sent to the floor of the Senate, June 7, 1797, where it was read aloud in its entirety and unanimously approved. John Adams, having seen the treaty, signed it and proudly proclaimed it to the Nation.
Christianity neither is, nor ever was a part of the common law.
-Thomas Jefferson, letter to Dr. Thomas Cooper, February 10, 1814