Execution may not deter crime, but in extreme cases like this i think it should be allowed. What possible explanation could be given for raping a baby? that person is a sick fuck, they should be executed and not have the chance to repeat the offense. In the ancient times people were stoned to death for much less than what we would execute someone for today. I'm not saying we should be that strict, but their should be capital punishment for raping babies/children doing other fucked up shit along that lines. Its one thing to make a mistake(girl was drunk, girl was slightly underage), but you would have to know what you are doing is wrong when its a baby/kid. there is no possible explanation for something like that.
You are conflating 3 different issue.
1. Justification for baby rape. I'm not even going to discuss that.
2. Deterrent.
3. Revenge. Call it justice if you will.
2. Statistics are ample for the US, of which I am not a citizen, showing violent crime does not decrease in states with the death penalty. Crime is negatively correlated with education. Places where people are left to fend for themselves with little social safety nets breed criminals. The irony is that people are more that happy to spend money to house and kill offenders, than to spend a fraction of that to deal with the root causes.
3. I am completely against the death penalty for a single reason. I don't believe in any deity or afterlife, as such it is my view that this single opportunity for existence is not something anyone has the right to deny.
Consider your last statement, fucked up shit, people were imprisoned for being gay not long ago, because it was fucked up shit, before they were executed. Now I am not equating being gay with baby rape, what I am saying is once you use the nuclear option of killing a person you can never go back. I prefer not to live in a society were people are killed due to culture morality, which changes with time.
Again I am not suggesting some cultures may approve of baby rape, I am referring the the blanket statement "fucked up shit".
OK so how about we make a list of crimes that are really really bad and people definitely deserve to die for.
1. Baby rape, extra painful execution.
2. Murder
3. Regular rape.
4. Heresy. Hey denying god all mighty might belong at number 1.
5. Sodomy. Faggots, god says its bad.
6. Adultery. Cheating whores.
7. Working on Sunday. Bible says death
As time passes society changes perspective on what is moral. So we make a special laws so only baby rapers and some murders are executed. Eventually some political group will garner enough support and try to add other crimes back to the list. Eventually we will be back to stoning women on the street, which is occurring now!