I know what your getting at, such a force couldn't work with individual goverments having disagreements like Iraq, i agree, the force would need to be either in the hands of the EU goverment, or used under agreement by a % of EU countries, or some mix of those 2, it would be unworkable if every sovreign goverment had to agree individually to its use...

I may be mistaken but i think an issue like the Iraq war is rare, I don't think the unified EU army would be hit with problems like Iraq, especially after Iraq as i think lessons have been somewhat learned...