I have always had some conflict on this issue.
I once worked on an death penalty appeal. The case coincidentally involved the murder of a UT coed who taken while leaving Gregory Gym. We did get the execution date stayed. And he lived on death row for about another 20 years or so. His name was Tommy Ray Jackson if you want to look him up. (I think I still have his hand-written manuscript somewhere).
Going to the old Huntsville Unit was one of the strangest experiences ever. There is a tower at the front gate. The guard in the tower actually lowers a basket on a rope, you put your DL in it and he pulls it back up (like a treehouse). Then calls in to verify. Maybe they have a better system now? I hope.
Anyways-
(1) I am willing to let democracy handle this issue. I am OK with it and will be OK when the voters finally reject it (same type of position I had a gay marriage -- except the Court should have stayed out of that), and
(2) This area of the law has been so thoroughly litigated that even Hillary's hand-picked Justices wont have much room there.
So what if it has been litigated? Democratic justices don't give a crap about stare decisis. They'll overturn the past cases and find the death penalty to be cruel and unusual punishment. That means they'll take it away from democracy, which is where it stands now.
I have conflict over how the death penalty is sometimes administered - the process or lack of process followed. I don't have conflict over whether it's used at all.