To be fair, Amsterdam red-light district is really safe, thanks to the windows and cops patrols. The plan to move them outside of the city in some shady areas is lowering the safety for all parties involved. And the reasons behind the move are basically "Won't Somebody Please Think of the Children?"
It certainly does. But officially the reason is because they want Amsterdam to not be a "let's go get fucked" destination anymore. Less drugs and hookers tourists, more windmill and museums tourists kind of thing. That is at least the official story. I can confirm that central Amsterdam is not pleasant when the stag parties are around which is every day.