‘Nevertheless they all signed it and therefore gave their consent to the wording, which has no Christ, no triune God or even the word God in it. It’s a deist document. It’s not a Christian document. Period.’
By that argument, none of the signers of the Declaration were Christians. Including the Roman Catholic Charles Carroll of Carrollton.
No that's not the argument. For reasons known to them, they chose not to identify the newly independent country with any specific deity/religion.