While thinking about quadras I got this idea...

In the world of people there are two kinds of struggles constantly going on

a) struggle over values
b) struggle over power

Struggle over values or better struggle over who defines our values and what method should be used is going on between Alpha and Delta quadras.

Struggle over materialistic power is going on between Beta and Gamma quadras.

Now in order to promote their values better Alpha and Delta quadras need a "hammer". Since Alpha and Gamma quadras are functionally very conflicting the Alpha quadra naturally chooses Beta over Gamma. They promise to support Beta in their fight over Gamma if they promote Alpha values in the process. Same thing happens with Delta except they rather choose Gamma over Beta.

So in effect we can often see Delta-Gamma alliance fighting against Alpha-Beta alliance where Gamma and Beta do the actual fighting and Alpha and Delta work in the background.

If we apply this to current world situation we can perhaps see these alliances forming. US is the ultimate Gamma hammer of the Delta Christian leaders. Deltas will make sure Gamma people stay in power if they promise to use US power to promote their values.

What about the other side then. Perhaps current Islamist leaders are more likely to be Alpha than Delta. US is getting too powerful and is trying to impose Delta values everywhere and take control of all of their material things in the process. So what do they do? They form an alliance with Beta powers in the region. These people who don't like seeing US army around. People who want power and are willing to use any means necessary to beat US. Even terrorism. In Beta spirit...end over means.

(Disclaimer: I'm not claiming Christianity to be ultimately Delta or Islam to be ultimately Alpha. Just in current world situation their leaders or leading interpretations perhaps are that way. Although sometimes Christianity is said to be religion of the "heart" (Fi) and Islam the religion of the "mind" (Ti) it is likely that both can be interpreted in "Delta-spirit" or "Alpha-spirit").

Perhaps this kind of Delta-Gamma vs Alpha-Beta alliances have been seen in previous huge wars and power struggles too. Or any kind of fierce competition situation. Maybe in the business world too (though values are less important there so it is likely to be more about Gamma vs Beta).

After the war/confrontation the alliances weaken and quadras / quadra leaders are left to seek new partners to get ready for the next big confrontation.

Now how does this sound? Oversimplification of course but can you see it touching reality at least occasionally? Of course not all people of same quadra stand in the same side etc. Mostly the struggle is between leaders (or most relevant leading groups etc) from different quadras. Regular people are more or less pawns (willing or unwilling ones) or just irrelevant factors.