You are right.
You ignoring facts won't change them.
Not seeing that the massive US invasion of Iraq is a major cause of current unrest, and the real immorality in all of this, is to be blind.
You don't think that Saddam is the root cause of the current unrest? He kept sectarian rivalries alive and well in order to have a stronger grip of the country. He made an effort to keeps wounds open and the butt-hurt strong. He, on purpose, created a stratified society where there was a pyramid of oppression. He made a majority of the Iraqis complicit in the rape of their own country. Made them feel complicit. This is of course standard fascist tactics. When the artificial network of structural oppression is removed there's a hell of a lot of butt-hurt that is finally allowed to be released. This is actually good. This is the key to why democracies are so successful. Dirty laundry is constantly aired and talked about. When a fascist regime falls all the butt-hurt is released in one big bang... all at once. This is what happened in Libya and what still is happening in Syria. It's often, but not always, messy.
After the fall of Saddam the Shia muslims (the majority) put in place policies that benefited the Shia communities at the expense of the Sunni communities. The Shia thought it was fair because Saddam had, during his entire reign, ploughed more money into the Sunni community that Shia. At the time of Saddam's fall the Sunni areas were way more affluent than the Shia areas. Some Shia areas had been kept desperately poor on purpose, on the brink of starvation.
Although solid arguments it breaks democracy. This line of reasoning leads to everybody just voting for whatever ethnic identity they have rather than following their ideologies. Bad leaders of unpopular parties will always get the votes from their ethnic group, and therefore never be removed. So it leads to corruption and mismanagement and the tyranny of the majority.
I don't think the invasion was necessarily a bad idea. Saddam needed to go. And when it did it would get messy. The invasion wasn't the problem. The problem was the occupation. The Bush administration clearly didn't have a plan. They just thought democracy was the magical sauce that would fix everything.
And it's not like there aren't examples in history of how to do it right. When we go from a dictatorship to a democracy it needs to be done in stages. Democracy needs to be implemented a little at a time. Only gradually expanding the franchise. This can be done in a variety of ways. But the important thing to keep in mind is to avoid full on democracy is one go. It almost never works. The fail rate is extremely high.
To take USA as an example. After the American revolution the central government was extremely weak... and broke. It couldn't really do much. For the average American the government was largely irrelevant. Only local elections mattered. As USA slowly got their act together the influence of the central government slowly asserted itself. When the time came a central power was strong enough for any dictator to bother with seizing power, democratic institutions were already well in place, to prevent such a coup. In Sweden and England the franchise was expanded slowly according to income. First only the wealthy could vote. Little by little the required wealth shrunk and shrunk until everybody had a vote. There was no upheaval or jolt to the system. Or we could do it like the French. Democracy for almost everybody (people who had property and weren't due to unfortunate circumstances women) over night and then utter and total carnage for about 100 years. Or as they did in Germany (= fascism).