No, the USA is right on this. There was a problem long before they got involved so deeply. Do you really think these people would change if the USA totally removed themselves from all Muslim areas?
Pirates used to roam the high seas freely until all nations got together to finally stamp them out. (well almost).
Now it is time for all nations to band together and stamp out all the Muslim Extremists. Not just the terrorists but also those who support them morally and financially.