I was being understanding of your point, until
> Anyone advocating the death penalty is probably a psychopath
I'm certainly not a psychopath. Neither are the billions of people who support it. Maybe misled. Your hyperbole works against you, and if it isn't hyperbole, you're disconnected from reality.
I could agree with you that the way it is administered by the state is not the best it could be or something like that.
There is a certain percentage of the population that, no matter what you do, what deterrent you set, they'll harm those around them because either they can't control their outbursts or they like it. Those people must be removed.
Besides that, I firmly believe that people have a right to revenge, that that subset of people I talked about is only deterred from praying on you if they fear retaliation.
The death penalty is killing. It is not murder.