They are coming to Iraq now, because of the collapse of order.
AQ is fighting for their very survival and taking advantage of a temporary situation in Iraq. In that you care correct.
However, AQ and Iraq began working together after the first Gulf War. Hussein's sons mentioned this in their OWN STATE RUN NEWSPAPER some months before the war this year.
Additionally, there is ample evidence of OBL/AQ and Iraq working together. I have links to dozens of articles/books about this subject matter, but have come to understand there are some who do not want to believe in this linkage between the groups. Such is life.
Bosh. If Iraq was as calm as Sweden by now it wouldn't make a lick of difference to the terrorists. Like Afghanistan before it, they come to Iraq to fight and kill the Infidel who fights for the liberation of those whom they seek to oppress.