Of the seven mainly recognised founding fathers -
only John Jay could be said to be clearly Christian in belief. The others were drawn more towards rationalism and the ides of the New Enlightenment. They were indeed deists.
The Declaration of Independence itself is remarkable for its departure from the accepted idea of the time that the right to rile was God-given, and the Constitution makes no reference to religion whatsoever except by way of exclusion, offering equality to all irrespective of any religion or none.