Jordan, I think you seem to have missed one further point in your favor: there is no real opportunity for true murderers to come to understand what they have done, nor an opportunity to rehabilitate. Is vengeance so important that we would waste the potential still remaining in a murderer? Have we lost entirely any notion of "corrections"?
Note, dear Max, were my own son murdered by some evil scum, I would be just as bloodthirsty as you, probably more so. But this doesn't mean I want the person guilty of this to be incarcerated and, defenseless, coldly murdered by the state. This would seem to me to validate the approach of the murderer to his problems.
Bill