In order to have someone to receive a death sentence, you must have:
A federal and state constitution that permit the death penalty,
A legislatures (i.e., representatives of THE PEOPLE), that have determined that they want to have the Death Penalty available as punishment for certain of the most heinous crimes,
A capital crime committed,
A trial in which the prosecution proved to a jury, beyond a reasonable doubt that the accused committed the capital crime,
A second finding by both the jury and the judge that "aggravating circumstances" existed and the death penalty was warranted,
Interminable appeals at the state level, and if appropriate, the federal level as well, NONE OF WHICH WERE SUCCESSFUL.
But with all this behind it, some people try to make the case that it is not "legitimate" or that the public somehow doesn't support it.
Baloney.
The only time when a survey indicates people don't support the death penalty, it is a matter of the question being presented in a theoretical way. When you talk about actual cases and fact situations - even in Europe - the PEOPLE support the death penalty. The EU has a system of government that results in government by a society of Elites who are largely out of touch - and don't care about - the wishes of the majority. If it's barbaric to support the DP, then most people are barbaric.
One interesting factoid about the American death penalty is that despite a huge amount of effort by thousands of people who oppose the death penalty, they have not been able to point to a single case in the past 60 years where a person who was FACTUALLY INNOCENT was executed. They can point to people who were exonerated after being convicted, and people who were executed and might have been able to avoid execution due to "technicalities" in the law, but nobody who was proven to be factually innocent after having been executed.
The cost of executing someone is approximately zero. Everyone involved is a government employee, and they are all "overhead." The ridiculous cost of the endless appeals and other bullshit are not the result of the cost of execution, but rather the horrific waste of resources caused by people who simply can't accept the FACT that the death penalty is both legal and Constitutional, and it is totally warranted in many cases.
To say that it is "cheaper" to send someone to LWOP than to execute someone is so incredibly stupid that anyone uttering such nonsense deserves a dope-slap.
And by the way, the New Testament says NOTHING that even hints that capital punishment is evil. In fact, if memory serves, the late J.C. accomplished his Mission via the Death Penalty, and most of his closest supporters were executed as well. I never read anything in the N.T. that complained that executions were evil, per se.