Likewise the same can be said for half of the states in the region, you can list the factions just waiting for the US Marines to come in and do their dirty work for them, and sometimes these factions include AQ. Look at Libya...we "liberated" it much to the enthusiastic applause and support of the same people we tried to bomb to perdition after 9/11.
We're in danger of the same mistake in Syria...the world can't abide the Assad regime, yet the rebels draw support from Islamists that are hostile to US interests.
We're not the good guys, but there are also no good guys.
The US didn't force the numerous factions of Iraq to go to war with each other for a decade. In fact the US lost hundreds of billions of dollars, and tens of thousands of wounded soldiers, trying to stop them from killing each other. The point should be made again: the most powerful military on the planet spent hundreds of billions of dollars, and suffered tens of thousands of wounded soldiers, directly trying to keep Iraqis from killing each other in civil war - to no avail. The US also wasn't responsible for carving up the region and compiling the nation of Iraq from factions that dislike each other - an inevitable time bomb sooner than later.
You might as well claim that the British killed a million Iraqis because of their very long history there and involvement in the Iraq war and occupation; that's just as incorrect and irrational of a statement.