Uh, No...
One Nation, UNDER GOD
SO, IF we are under GOD, then we are also under HIS WORD
And His Word declares:
ROMANS 1
24. Wherefore God also gave them up to uncleanness through the lusts of their own hearts, to dishonour their own bodies between themselves:
25. Who changed the truth of God into a lie, and worshipped and served the creature more than the Creator, who is blessed for ever. Amen.
26. For this cause God gave them up unto vile affections: for even their women did change the natural use into that which is against nature:
27. And likewise also the men, leaving the natural use of the woman, burned in their lust one toward another; men with men working that which is unseemly, and receiving in themselves that recompence of their error which was meet.
28. And even as they did not like to retain God in [their] knowledge, God gave them over to a reprobate mind, to do those things which are not convenient;
Actually:
"I pledge allegiance to the flag of the United States of America, and to the republic for which it stands, one nation under God, indivisible, with liberty and justice for all."
Note location of the commas. " ... one nation under God, indivisible ..."
The phrase "under God" was added in 1954, by act of Congress, at the behest of (among others) the Knights of Columbus and Rev. Dr. George MacPherson Docherty.
At present, I think it's more a matter of wishful thinking than it is a description of reality.