My only objection to your "disciples" would be that they don't do their fighting in uniform or as parts of recognizable centers of government or authority.
That being said, since our enemies choose to hide amongst willing civilian supporters, our targets should then be anyone supporting or contributing to our enemies: Saudi Arabia, Iraq, Iran, the Palestinian Authority, etc, etc, etc .. men, women, and children .. until they turn on Al Qaeda and the other terrorist organizations.
200 years from now, I want their children's children's children's children to cower and cringe in fear whenever they hear the sounds of jet engines overhead because their legends tell of fire from the sky.
I want them to hide in dark caves and holes in the earth, shivering with terror whenever they hear the roar of diesel engines because the tales of their ancestors talk about metal monsters crawling over the earth, spitting death and destruction.
I want their mothers to be able to admonish them with "If you don't behave, the Pale Destroyers will come for you", and that will be enough to reduce them to quivering obesience.
I want the annihilation to be so complete that their mythology will tell them of the day of judgment when the stern gods from across the sea .. the powerful 'Mericans .. destroyed their forefathers' wickedness.
Kill them all ... nits make lice.
(COL Chivington, Sand Creek)
To be honest, I am not much of a neo-reb and I think Lincoln was a decent man caught in an untenable position. And despite my personal distaste for Sherman, he was a man of the times as well. If it weren't him; it would have been someone else.
However, that doesn't excuse his behavior and the callous disregard of the rules of war. The South had every right to reciprocate, but Lee wouldn't consider it. Sometimes the price of victory is too great.
Of course, our progenators did to Cathage exactly what you suggest and I would have to agree completely with the sentiment. However, the specifics are hard to work out. Since, as you pointed out, the combatants are not officially associated with any "true" nation.
And, short of total nuclear war, you could not accomplish the destruction of your list of "culpable" nations. And do you think the rest of the world will sit idly by as we nuke the entire Middle East? Sheesh, if it were only that simple!
Deo vindice!