"If you were to come back to life, and go to your murderers house and kill him with a syringe of cyanide, you would be a murderer. But do it through the state and it is "justice"." (SYnapse)
If someone stole your life savings from you and you then went to their house, took them away, and locked them in your basement or your backyard shed so they couldn't leave, you would be a horrific person. But if the state went to their house, took them away, and locked them up in jail or prison so they couldn't leave, it is justice (with or without quotation marks). So it's okay to take away a person's liberty but not a person's life? Why one and not the other?
"If you follow the jurisprudence that the law is supposed to protect the right to life, then the law against murder is undermined by the fact that the death penalty sanctions murder." (SYnapse)
This is a non sequitur. The law IS suppose to protect the right to life.....except, when you take away someone else's right to life, YOU GIVE UP YOUR OWN RIGHT TO LIFE IN THE PROCESS, as Draugnar said (though I disagree strenuously with him that you also give up your humanity in the process and become an animal). So if you've given up your own right to life, there's NOTHING wrong with the state actually taking your life from you. This isn't to say that the state always MUST take your life from you if you've given up your right to it, but if it does take your life when you've given up the right, it is perfectly just when it does so.
I should also point out that the state has more rights to exact justice (or revenge, if you prefer to call it that) than you do, which is something we all agree on. This is why it's okay for the state to imprison someone, but it's not okay for you to. It's also why it's okay for the state to execute someone, but it would never be okay for you to.
As for Ray Jasper, he might be a perfectly wonderful person who is not the same as he was 15 years ago, just as he himself said. He might also be self-deluded into thinking he's not truly guilty of murder, as Steven Alejandro has suggested. I have no idea. But I do know this: if he was directly complicit in the murder of David Alejandro (and there seems to be consensus on all sides that he was), then he gave up his right to life. And if the state of Texas chooses to proceed with the execution, it will be entirely just in doing so.