The founders did not place God in the constitution either:
Every religious society has a right to determine for itself the times
for these exercises, & the objects proper for them, according to their own
particular tenets; and this right can never be safer than in their own hands,
where the constitution has deposited it. I am aware that the practice of my
predecessors may be quoted.... Be this as it may, every one must act according
to the dictates of his own reason, & mine tells me that civil powers alone have
been given to the President of the US and no authority to direct the religious
exercises of his constituents.
– Thomas Jefferson, to Samuel Miller, January 23, 1808