The danger of an innocent person being executed has 99% (if not 100%) been removed with the benefit of DNA.
Sadly this is not true. While DNA evidence has helped overturn many false convictions, the Supreme Court has actually said, that proof of innocence is not in and of itself sufficient to suspend or cancel an execution.
Let me rephrase that -- it doesn't matter that you are innocent, your $20 an hour lawyer screwed up during the appeal process, so you have to die.