Whether they can be rehabilitated or not to me is a wasted argument. Their first offense, to me, is severe enough to warrant putting them down. It's not about them, but the damage they cause.
I agree. I don't think it should be an opportunity. It might lessen first time offenders if they know if they get caught they will perish.
Also, I bet it could be said they reoffend less statistically because victims of child molestations are way less likely to report than other violent crimes. So your stats may not have any real world meaning because they are reoffending but just haven't been caught. Not worth the risk. Bury them