Earlier quoted context omitted.
The Bush Administration, under Paul Bremer, tried to build The New Iraq as the ideal capitalist state. They even implemented many things that could never get full traction in the US, like very low, flat taxes [1]. I can't say that I followed much of it closely, but at least Iraq was inspired by right-leaning principles and ideology. [1] https://www.washingtonpost.com/archive/politics/2003/11/02/u...
What libertarians would probably want first in Iraq is to let ethnic and religious groups to have the control of their own territory and abolish or weaken the central government as much as possible. Honestly this approach would at least alleviate the current turmoil there. Consider Syria, Iraq and Yemen for this.
This is probably not the best place to ask these types of questions, but 'libertarianism' seems to come up on here so often, I had to ask.