Yep, that about sums it up.

Whose Side are We on Again? via Crooks and Liars:

So let me see if I have this straight: We invaded a country for whatever reason du jour (WMDs, Saddam an evil dictator, 9/11, terrorists, etc.), without the people at the top having the foreknowledge of the history of the area or the difference between various Muslim sects, took out the relatively secular (although admittedly dictator-based) government in favor of a far more Islamic (but democratically elected) government and continued to occupy said country, fighting in some cases FOR the Shia (being assisted by our sworn enemies, Iran) and against the insurgent Sunnis (that our allies, the Saudis, support). Have I got that right?