Some interesting stuff there. Do you see that one holy trinity (Sun, Earth, and Moon...which might be termed Father, Mother, and Child) eventually morphed into another trinity, the Christian one: Father, Son, and Holy Spirit?

What makes one better than the other?

I see nothing particularly wrong with a cosmology that uses the sun, the Earth, and the moon to represent divinity. They are real things, and they make powerful symbols.

I've always felt that the Christian Trinity of Father, Son, and Holy Spirit was more than a little odd, because it leaves out the feminine component (unless the Holy Spirit is feminine). Many ancient trinitys include the feminine component, as I think they should.

It's natural that God should be seen as the sun by a society, because the sun gives forth the light and energy which makes life possible on this planet, therefore it's the sustaining principle in physical reality behind all life existing here. It's natural that the Earth should be seen as the Mother, since we are all physically born out of the Earth and sustained by the bounty of the Earth.

As to the Moon, well, that's a bit more subtle...you could have many interpretations about the part the moon plays. The moon moves the tides, and it has subtle effects on all living things here, as evidenced in monthly patterns, menstrual cycles, etc.

So why is such a cosmology necessarily bad...in itself? I don't think it is.

What's bad is if the people in charge of it turn a cosmology toward an oppressive purpose.

As to your thoughts on the deterioration of American society...I'd agree with most of that.

Interesting stuff about the all seeing eye showing up in industry logos. I'll do that search and see what I can find.