Not to make too much of this--maybe the ad men didn't bother to read the offical pledge, but
the pledge reads ..one nation under God, indivisible...
So they HAVE completely changed the sense of the wording. This fact is often lost sight of by the way the pledge is said (wrongly)
..one nation(pause) under God, indivisible.....
This is my point....it is a complete thought....the entire thought is not "one nation...indivisible." The phrase is "One nation, under God, indivisible." The meaning is lost by cutting out God here.