This is nothing to do with sympathising with the terrorists. It's simply that the rest of the world has a very cynical view of the US. You mention killing innocent civilians in times of peace, what exactly did the US and its 'allies' (of which I'm disappointed to say the UK was one) do in Iraq? There was no immediate threat, whatever Bush and Blair may say, and they essentially stormed the place.
There are also many events in the past that have contributed to this oft-found worldwide view on America. Things such as jumping into other people's wars - Iraq #1 and Vietnam come to mind immediately. Plus you're going to have to accept that the country with the most power is always going to come under the most scrutiny and criticism due to the fact that you have to potential to kill us all on a whim.