It doesn't matter if Saddam's party was the minority or what he did. He was an Iraiqi. An Iraqi dealing with Iraqi business and Iraqi affairs. It was his country, it was the Iraqis country, not the US nor was it the place of the US to interfere, especially interfering on the basis of the false and misleading inteliigence documents that led to the invasion. Unless a country is a direct threat to the US what goes on inside that country is no one's business except for that country's leaders and the population that resides there. Iraq was no direct threat to the US or its allies at the time in which we invaded.
The US removal of Saddam has led Iraq into chaos and destruction, with hundreds of Iraqis getting killed each month. It is irrelevant who is causing the destabilizing, may it be Al Qaeda, Hamas, Iran, or even Mother Goose. What is relevant that the catalyst for the destabilization that allowed thousands of Iraqi deaths to happen is squarely the invasion which the Bush Administration and Congress are responsible for. The military has failed to maintain control. The Bush Administration has failed in stabilizing the region. Congress have failed to rein in the Bush Administration from going down this path of destruction.
The question now is what to do with this mess and the only viable solution lies in the hands of the Iraqis and no one else.