For me, people referring to it as ISIS is a good indication that they don't really know what it stands for, unless they really know what the last "s" stands for. You could just refer to it as DAISH if you wanted.
The times of Catholics being OK with killing Baptists are long gone. And you should be tired of hearing about something that is pretty fundamental to this problem set, otherwise why would you think that the Iraqi government would be making such drastic changes during this crisis?
1. ISIL and ISIS are the same thing... Shams means Levant in Arabic, what are you saying?
2. The point I was making is this- Sunni and Shia are sects of Islam, Kurd is an ethnicity- most Kurds are Sunni. There are Sunni extremists from the Kurdish ethnicity (Ansar al Sunnah was a big one) just as there are from the Arab ethnicity, just in smaller numbers. There are also Sunni extremists from many African ethnicities, southeast Asian, Chechen, etc. I guarantee there are Sunni Kurds in IS- the extremists are fighting the secular Kurdish government, not the Kurds themselves.
Look at it this way- Mexicans could be Catholic, Baptist, Agnostic, whatever... So why would I ever say, "there are three groups at work, Catholics, Baptists, and Mexicans." That is the oversimplification that is, "Shia, Sunni, Kurd."
I think you missed the point that the Awakening was entirely made of Sunnis, mostly former insurgents, that were helping to fight against JAM and keep the peace in their neighborhoods. Most are probably with ISIL now.
The Awakening Council helped fight against AQI, aka JTJ- not JAM. JAM was a localized threat to Baghdad, Basra, and the spattering of Shia holy cities to the south of Baghdad. JAM only became a major concern after the 2006 killing of Zarqawi and AQIs subsequent demise. There was no JAM in Anbar for the Awakening to fight to begin with.