There are some really bad people who deserve the death penalty though.
I fully agree. In fact, I will state that anyone who does not have a better dead list is living in a fantasy land. That does not change the fact that I do not want my government to kill anyone just because someone, even if it is me, thinks they deserve it. It is immoral and reprehensible, and makes all of us into murderers who do not deserve the protections of the law.
Fwiw, those people who are on death row have been tried by a jury of their peers in a court of law for crimes that have been deemed by law to be punishable by death. In those cases, the juries have recommended the death penalty and the presiding judges have handed down the appropriate sentence. So to rebut your argument: While it is true the government runs the prisons and will be carrying out the executions, it is not 'the government' per se that is killing them. It is the legislative branch of the government that passed the death penalty through it's procedures. It is the executive branch of government that actually signed it into law. Lastly, it is the judicial branch, coupled with a jury of citizens from that community, that tried and convicted them and sentenced them to die.
So before you go spouting off about not wanting your government to kill someone, think about what it has taken to put those laws on the books in the first place, and what the person who received that sentence has been convicted of doing to put him/herself in their spot on death row.