Here's some more details from his lecture that were missing from the OP:

1) Theory that a certain percentage has to die. Rationale is that the "warrior" caste has to be humbled in the eyes of its people as being unable to protect them. If the people don't perceive military capitulation insurgency will continue.

2) Ease of entry=harder insurgency. War weariness is a big factor.

3) Centers of Gravity don't exist. Only CoG that matters is perception of the populace that submits. External actors rarely can change internal cultures much, only pacify (see US South for 120 or so years after Civil War, etc.)

4) Clausewitzian trinity only works in monarchy-dictatorial systems, falls apart in anything less than total conflict. Even the Prussians and Napoleon never got the "single, decisive battle" they wanted.

Best as I can recall on the arguments half. Will have to wait for the book. A number of counter-arguments were brought up in class, along the lines of the above, both historical challenges (cases it didn't work), and moral challenges (who's signing up to mass murder civilians?), as well as a sense the version of Clausewitz he challenges is a strawman constructed for that purpose. I have the feeling that CvC is like the Bible, you can interpret what you want out of him, which is kind of a supporting argument for Mr. Melton's thesis in a roundabout way. However, he sees a lot of sympathy for the Jominian formula of war.