People don't think that way. If your friends start to get killed, you're not going to cry for your government to stop and give in to the terrorists, you're going to cry for somebody to kill the guys killing your friends, so that they won't be able to keep going. It's part of human nature that has been well documented again and again, and glorified in more popular media than I can count.
Besides, how often is 100% of the adult populace in favor of an evil war, like in your scenario? Maybe some are, but I guarantee that many will be against it, but powerless to do anything but stand by. How will your freedom fighters differentiate their civilian targets?