Here's a link that gives a bit of background on Al Queada in Iraq (scroll down).
Yes, they have alliances with the Sunnis, but so do the Saudis and the Pakistanis. The lines are a little blurry to me, as they also have alliances with the Kurds.
I'm not sure that "lumping" all Sunnis with Al Queada is accurate. If that is what Bush is saying, and I'm not sure that he is, perhaps there's a need for more clarity on which groups represent the "enemy combatants" and the forces of the "insurgency".
http://en.wikipedia.org/wiki/Al_Qaeda