> My heart breaks at the idea of a guy being murdered with no consequences, but that can't mean that we embrace anything and everything which delivers those consequences.

We don't. The outrage isn't even remotely what it ought to be. We see the videos, we perform grief, and then we forget. I don't see where this belief that we're somehow overreacting comes from: every couple of months, one of these murders in broad daylights happens to have the cop fired, only for them to be later rehired elsewhere. If your fear of overreaction reflected even a tenth of reality, they simply wouldn't be wearing, "I can't breathe," shirts.