Then we do a better job in ensuring that all defendants in capital cases have equal access to legal resources.
While keeping the death penalty.
No, we should dump the death penalty because it's a waste of resources that COULD be spent making sure people get fair trials to start with.
As Ernie Banks would have said... "
Let's play two"... let's do
both.
The accused in any case in which life-imprisonment or capital punishment is a possible outcome, should have the very best legal assistance and best attention to due process and justice that it lies within our collective power to provide - regardless of whether the accused, once convicted, is sentenced to death.
Consequently, we would incur such expenses, related to ensuring fair trials,
regardless.
Actually carrying-out a death sentence, afterwards, serves to (1) provide vengeance on behalf of the victim and family, with the State taking-on the role of avenger, as has been done for many centuries throughout the history of civilization, and (2) save the public a great deal of money, related to the sustenance of convicted persons.
If we develop better standards and adhere to them during the Trial phase, we can streamline the Appeals phase, and execute convicted murderers, etc., in a matter of a year or two or three, rather than ten or twenty or thirty years of feeding and housing and caring for them on Death Row.
When you cut through all the civilized bullshit, capital punishment is not anywhere near so much about deterrence, as it is taking vengeance out of the hands of victims and their families, and putting it into the hands of the State, as tribal chieftains and counts and dukes and kings and emperors and nation-states have been doing for thousands of years, and it's about killing savages and mad dogs who have killed others, and sparing the public decades of expense for jailing them.
If you kill someone outside the boundaries of a short list of reasons considered defensible or justifiable, and you get caught at it, and you're proven guilty beyond any shadow of a doubt by competent prosecuting counsel, and if a jury of your peers convicts you, and once you've been accorded all possible legal resources and reasonable and adequate time to avert such a terrible penalty, the State should execute you.