That's different to a large degree. I had stated that morality is an intrinsic awareness in all humans, ...maybe as much as the awareness of God is.Based on the first commandment, should we outlaw all non-Christian religions?
I was saying that to do unto others is clear to humans. And what is good for the goose, should be good for the gander. Thus, certain precepts are obvious and obligatory. Again, contrary to what your OP stated, morality affects every citizen.
As far as theism goes, denominations not so much, but 'In God We Trust' yes. Even the pagan empires recognized Yahweh on many occasions.