I would support abolishing the death penalty under three criteria:
First: Stricter sentencing for violent criminals, including life without parole for ALL first degree rape convictions (and most other rape convictions), and life without parole for all first and second degree murders, and most other deliberate homicides. No fucking 5-10 for murder plea bargains. Keep those fuckers in jail and gun crime will diminish dramatically.
Second, make prisons self sufficient. (and no whining about "slave labor".) Those subhuman scum are given room, board, recreational facilities, gymnasiums, cable TV, internet access, etc. etc. etc. Put them to work and pay them market wages for the type of work they do, but then subtract the cost of their upkeep (including the cost of the guards that tuck them in at night). Any extra after they pay for their food, shelter, pool tables, TVs, cable, computers, weight rooms, etc, they get to keep in a savings account, and spend as desired on things not provided in the prison. Then the prison either uses the product of the prisoners' labor, (ie: food grown in gardens and mini-ranchs, services like laundry, etc.) or sells it outside and uses the proceeds to run the prison and pay the guards, etc. (I do NOT believe a prison should be PROFITABLE as is being done in some areas, but it should be self sufficient.)
Third, set up maximum security areas for murderers and rapists that assures as much as humanly possible there will be no escapes. Putting such people in medium security facilities is not right. In the last year the Montana State Prison has had 8 escapes of prisoners with convictions for violent crimes. It is not acceptable that society should be at risk because a convicted murderer was even accidentally freed to murder again. (let alone purposely as happens now)
Meet those criteria so as to protect society from these scum, and make them earn their own way so society is not forced to support them, and most objections to abolishing the death penalty will go away.