I agree to an extent. The problem with capital punishment is that a lot of people on death row right now are innocent and were wrongfully convicted. I'm not saying this is the case in OP's video, but it happens more often than you think. So lets say you hang someone everyone assumes is guilty, then 10 years later some new technology presents itself and we find out he was 100% innocent and it was actually his brother that did the crime. What happens then? Do we hang the judge because he killed an innocent man with his sentence? Like you said, eye for an eye...
Meh, sure out of the MILLIONs that are in Prison there MAY be 20 or so TRUELY innocent. People who can commit multiple severe felonies, rapist and murderers are rarely good people who just snapped one day. Most are hardened criminals who's crimes just get worse and worse as time goes on and have proved over and over they don't belong in a civilized society. I bet my paycheck on it that we'd have less "collateral damage" killing a TRUELY innocent person in prison than our military does at war.
Long story short, there's a VERY VERY small chance we would condemn an innocent man to death but the 1000's of assholes we get rid of because of hard proof (caught on video, DNA, admission etc..) would still be cheaper (average cost per inmate to house is $40k EACH, PER YEAR, $150k plus if in maximum security) than the lawsuit payment we give the family members of the innocent.
There needs to be harder consequences period of all types of severe crimes. Thinks like...
Public Caning / whipping
Armed robbery = hand cut off
child molester = tattoo brand on forehead & tongue removed, sterilization & castration
Multiple misdemeanors = face brand with a 10 conviction limit after which they qualify for put down.
Gang member = arms cut off