Yes and suppose I have a magic spell, the incantation of which just requires sacrificing a few children, then it will get rid of all the evil in the world. Good or bad?

Your scenario is way too terse to yield some actual insights and honestly seems aimed for a particular outcome. Questions that remail open, e.g.: What kind of crime? How can the governments get rid of crime using data alone? What side-effects does the data-sharing have? Are those side-effects less or more severe than the crime used to be? Can you know all potential side-effects for the future? there other approaches to solve the crime problem?