I have no problem executing those who actively seek sex with children, hell I don't even mind if the child has to beg them to have sex. If you have try to have sex with children, no matter how lonely you are, you are still a pedophile.
Also read up on entrapment, the constitution is on my side.
I have no problem with executing such people either... if it can 100% be proven with 100% reliability each and every time with never any error at all. The problem with the death penalty is, as with everything mankind does, sometimes errors occur. Life in prison allows those errors the most chance of being corrected. You would no longer be pro death penalty if you were the innocent person who ended up there simply because of the color of his skin and he was in the wrong place at the wrong time (which still happens A LOT in this country).
As for entrapment, it is defined as inducing someone to commit a crime that they otherwise were "unlikely" to have committed without your inducement. The court ultimately decides if entrapment occurred, the constitution doesn't get into the specifics for each possible case.
Like I said, the show catches many people who need to get caught, and for that I'm thankful. However, given that they are motivated by a very high paying network and advertisers to get as many guys in there as they can, they most likely entrap some of the people.
Also, like I said, I have seen where a guy was uncomfortable with the situation and wanted to get offline, and the girl kept baiting him in and tempting him to keep going. This guy would've not done it if she hadn't had entrapped him. That is wrong. It is especially wrong when the guy is 19 and she is saying she is 14 or 15 (and looks 18 when he sees her).
Would I ever screw around with a 14 or 15 year old? No, of course not. But I'm just saying entrapment is always wrong, and it is especially wrong when the lines are blurry (in some states consent is okay at 14, etc.).
When the show profits off catching predators who prey on children, that is fine. I'm all for that. When it profits off preying on and entrapping young men who otherwise would never have gotten into that trouble... that is wrong.