Even with faulty convictions, police may be seen by the wider community as able to do their job and thus the conviction for them is a cover up for incompetence. It may also be a vent and prop for communal racial prejudice. Also, victims' families are said to get the closure they think want, and incidentally many are against capital punishment anyway. Lastly, with faulty convictions, not only is the crime of murder perpetuated within the system, but the true killer walks free unhindered. Justice? Anything but.
I have bad news. This is a "typical" death row victim story. There have been several others like him.
http://en.wikipedia.org/wiki/Cameron_Todd_Willingham
http://online.wsj.com/article/SB1000142405270230402380457556...
Over half the death penalty convictions in Illinois were found to be faulty.
http://deadlinethemovie.com/state/IL/index.php
There have been a total 18 innocent people exonerated on Death Row in Illinois. Illinois has executed a total of 12 people since 1976
Prosecutors have no incentive to convict the criminal. Any plausible convict will do.