I haven't read the whole discussion, most of the linked content is dead, sadly. I did read the post you linked to, and I liked your characterisations of the pairings (though I don't understand the Atlantean stuff).
The most halfassed thing that occured to me as I was reading was that this reminds me of the courtly cards in the tarot. Both the coins/cups/swords/sticks and the Princess/Queen/Prince/Knight sequences are supposed to be analogous to earth/water/air/fire, so the courtly cards form a matrix similar to the New Chart. But that's as far as that went...
The other thing I've been thinking about is whether the Order/Disorder and the Creation/Destruction dimensions are on the same level, and whether they are independent. I think order/disorder are qualities that tend to be ascribed to states of affairs, while creative/destructive are ascribed to processes. It even feels quite natural to describe creation as movement from disorder to order, and destruction as movement from order to disorder. Then I tried to think of a way of defining order and disorder in term of creation and destruction, and I could only come up with: order is the precondition of destruction and the result of creation, while disorder is the precondition of creation and the result of destruction - but that's saying the same thing. Also, where do I fit the static-dynamic duality into all this?
The "this smells like hippie shit, it's still dualistic, and we like breaking things" bit was very much after my own heart. But this is still dualistic, isn't it?
Also, all four appear to be perspective/ascriber-dependent. The very same thing is seen as beautious order by some and as atrocious disorder by others (industrial agriculture versus permaculture, regimented, Prussian-style schools and project-based learning, person-centered schools), and the very same acts are seen as creative and destructive (often in sequence).
That's as far as I got for now.