Adding the option for life without parole will be a step in the right direction. As it is now, the jury can come back with a sentence of life or death if they find a defendant guilty of a capital offense. Jurors aren't told what life means, so they often assume it means they could get parole before in a number of years. Technically it has to be 30 years before the option for parole surfaces. In practice, a convict will not be released on parole. However, the option for release if there, which scares the shit out of many jurors.
If the juror doesn't want to play God, realizes the fundamental errors in the death penalty scheme, or figures out that the entire system is a sham that merely feeds our appetite for blood but doesn't want to see the criminal back on the streets -- that juror has no viable option. That juror is in a bind where voting for the death penalty is the only way she can feel secure regardless of whether she'll be able to sleep at night.
Texas is in the minority of states:
Currently, 46 states offer life-without-parole as a sentencing option. Nearly all of the 38 states that allow the death penalty offer life-without-parole as an option.
Unfortunately this embarrassing isolation from the rest of our nation probably won't change,
Lucio has offered the bill for the past three sessions of the Texas Legislature without success.
Even if it did pass, I'm sure that the Texas Court of Criminal Appeals would figure out some