Niel:

At least with the slide I could understand your implied point to it.

But the implied point is the problem since it is fundamentally a slide that depicts the premise to population centric counterinsurgency and the usual critique of how the American Army doesnt get coin because we dont get the political aspect of it and only want to do tactics whereas the insurgent does and focusses on politics. Mao, Galula as opposite sides to the people's war construct would accept you slide and its implications. But why do you think it is relevant for today? Does the triangle for the insurgent fit the local villagers in the Korengal Valley?

Too, the implication to your slide for the "correct" action on the part of the American counterinsurgent is to invert our triangle so that the majority of our focus is on the political like the insurgents. But the flaw with this approach just like it is with the American Army's current flaw in how we have templated Galula and Thompson which is to treat counterinsurgency as a symetrical response to a perceived people's war. This is why I have argued that CE Callwell's book still has relevance and insights for today in that he saw small wars as essentially wars to create moral effects among local populations and leaders but saw the use of military force not in symmetrical but asymmetrical sense.

some thoughts from the other side, thanks for posting your slide.