I'm going to argue contrary to my personal beliefs, because it's an interesting stance I don't see taken often. And yeah, I'll paint in broad, black-and-white strokes.
You've got nine guilty men and one innocent man. You can execute them all, or let them all go free. If you let them go free, those guilty men will go on to murder, rape, and torture more innocents.
It is the patriotic duty of that innocent man to sacrifice his own life to protect the lives and freedom of other innocents. A sense of patriotic duty is already enough to compel you to rush into a burning building and sacrifice your life to save several others, or to fight and die in a just war to defend your homeland (assuming those wars still existed). It is, in fact, a great act to willingly be accused, and to die knowing that everyone--maybe even your friends and family--will think you are guilty...to make that sacrifice just to protect more innocents, in the name of ensuring that the guilty will always be punished, no matter what.
Yeah, I have close friends who hold that viewpoint and I respect it a lot. It's not mine though, for two reasons. 1) How many innocents are you willing to punish in order to get at the guilty ones? The number keeps going up if you're willing to punish any at all. 2) Taking it a meta-level, it is the patriotic duty of innocent free men to put themselves in danger to protect the freedom of others. If the courts cannot prove that someone is a murderer, and must set him free, it is my duty NOT to shoot him straight-away. I must not sacrifice the liberty of another to gain security for myself.