The thing is just that for military strategists identifying the nature of a conflict is necessary in order to present a good solution.
Or at least one that makes you look clever!
I'm actually of the opinion that the main goal for the United States to win Iraq should be on the diplomatic level as well as on the military level trying to adapt to the 4GW challenges posed in Iraq. This is of course easier said than done.
If you want to win in Iraq you should look at how the russians 'won' in Checnya. To defeat the Insurgency the Russians elimiated(murdered the young men, left the old) the Civilan population from the rebel areas. No Civilians, no Rebels. At the sametime they backed there Chechen Allies to the hilt, giving them money, weapons, and all the political backing (protection) they wanted. Sure Chechens are pretty thin on the ground outside grozny, but hey they won. Historically the Russians fought a classic counter insurgency campain (actually Checnya was de facto independent). Sure it was old school but they won. It was how the British passified the Irish whenever we got to uppity. We're just lucky they grew a consionce in the 20th cenuary. Its how the west was won as well, what indian tribe lived on your land and where are they now, that can be somebodies (heh) history project.
Another classic counter insurgency campain was the National Assembly's actions to suppress the royalist rebellion in bretonny. Also very effective, and very heavy on the bodycount. But it was the last royalist rebelion.
The British were lucky on two counts in greece, 1 the commies werent to popular in greece, and 2 Uncle Joe cut them off, your on your own boys. The Fasists, British, and Greek othodox Church were a winning combo.
The French and Americans failed in vietnam because they could'ent act in the same manner, they just killed enough of the locals to make them hate them like poision. Iraq is falling into the same pattern, the coalition is killing enough iraqis to make them hated, but not enough to make them feared. The worst of both worlds.
If they want to 'win' first they back the Shia to the hilt,(not backstab them by ignoring what the Kurds are planning to do up north) second they start real negotiations with Iran, then they go to the Sunnis and tell them that your going to let the Iranians and the Iraqi Shia impose
there solution on the Iraqi Sunnis. You either accept the Iraqi goverment or we let the Shia do as they please, and we will activliy help them.
That would split most of the moderate insurgents away from the islamists.
Some of them are already more than willing to talk to the americans, they know what will happen when the Americans leave.
If the Sunnis were handed an ulitmatim, effectivley, submit die or exile, they will submit, then you can start being nice to them. Otherwise you can try to build all the water treatment plants and faulty generators you want, but the insurgents will still think you a pussy.