First you would have to accept #1 as truth, which I (obviously) don't do.
As a neutral observer here with no intention of fighting with you:
How long do you think it would take for us to see images of the people in Darfur marching in protest that American soldiers were there?
How many weeks would it take before somebody made a mistake, and an innocent got hurt?
What would happen in Iraq and Iran with pictures of Americans standing over the bodies of genocided civilians in a Muslim country?
If I were a betting man, I would wager we could probably settle the place down by 85% in a year, but our percentage of positive news to negative news would the inverse. 15% positive.
In one year, I suspect the media could change the minds of the world that we're doing more harm than good again.
Iraq is a perfect example.