I think you may be on to something here. But I think that in terms of US politics, the stabilizing factor was that, until recently, both parties shared the same religion. Even up to the 90's, being Christian was very much a requirement for Democratic presidential candidates.
Hard disagree. The visible entity is still human, and can be wrong, even if it takes a lot to recognize it. God's can't be wrong whatever they do, however inhuman it is.