Who's the people? Because an individual or a group of people killing someone is something different than a formal death penalty handed out by the state, of all things.
I argue against giving the state (any state) and the courts power to decide who lives and who dies. Because ultimately, I don't trust the people on top to make that choice. Beside individual examples of killings that you find justified, do you have any example for a country that uses the death penalty exactly the "right" way? Where no one innocent is killed, where there are no moral grey areas, no ways to just change some laws and misuse the whole concept to "eradicate the gays" or some shit? Because I don't and I sure as hell wouldn't look to the US for advice.
I'm from Germany, yes. The Nazi problem wasn't solved simply by killing the top, nor does it grow right now because we stopped killing in the 50s. There were a lot of fundamental changes to be done at the bottom, a lot of them only just starting in the late 60s, far after the death penalty. And even then, a lot of people went to prison, some 90-somethings only in recent years.