> If a child killer is duly convicted beyond the shadow of a doubt,

I.e. never. Even if killing someone in cold blood for selfish and primitive reasons somehow wasn't murder when the state does it, only killing those who "deserve" it is simply not possible.

> I'm rather sick of how soft the West has gotten in dealing with serious crimes.

I'm sick of how soft the West still is in dealing with people who advocate murder. You should be removed from society. It's not vengeance (what you think is "justice"), it's self defence. Only until you can be resocialized, of course. Because for civilized people, that's the purpose of punishments.