Oh really?
We were just talking about this subject in our classes here today. Certainly, the absolutely unanimous position among our foreign military officers is that the Iraq War severely damaged the US image in their countries. Well, maybe the Georgian officer didn't say that. Pretty much also unanimous agreement from our own US officers who are are there dealing with this, and absolute, totally concurrance from our State Dept students.
There are reams and reams of public opinion data to back this up too.
Countries that moved from the ally column to the enemy column, no, but countries less willing to cooperate, less willing to give the US benefit of the doubt, less willing to back us in any way that costs them, you bet.