OK, first things first. It's not because an age of consent is low somewhere out of tradition that child bridery is justified. A few political parties in the 1980's (e.g. The Pacifist Socialist Party, The German Greens) tried to legalize pedophilia but failed miserably because they were unable to sufficiently convince people that it's not bad at all. One like you would certainly think that as a valuable traditions these political parties would win major votes and these parties thought that as well, saying that the Ancient Greeks practiced it (which is half-true in the sense that we have accounts were ancient Greeks had sex with 12-year olds), but guess what, it didn't and some, like the German Greens, even lost more votes than usual for saying that they would legalize it in their party program. If back in the day people didn't get convinced that child bridery was a good thing, then why should I accept that child bridery in the past was a good thing?
Secondly, just because someone is in puberty it doesn't mean that he's suddenly magically to get sex. What do you do if someone has a severe mental disorder that prevented him from living an individual life? You sterilize him, because that way nobody is going to sexually abuse the poor bastard.
Lastly, if your prophet is there to warn you against worldly pleasure and that's the reason why he wasn't as perverted (Honestly, you should've stopped there and nobody would have a problem with it.) then how meaningless is he? We all have a body that uses chemical reactions that inflict pleasure upon us. Of course it isn't always good that it happens for our survival, but it serves a good purpose. Such a prophet is redundant and useless, because we can already attest how dangerous a form of pleasure is by consulting science.
The Muslim is a strange beast. It opposes pedophilia (at least the Taliban anyway), unless it's Muhammad on kid.