How could this question really be answered? You'd have to trust those whose unworthiness to that trust forms the question's very premise. Police and prosecutors couldn't be all that effective, since their ultimate argument seen here amounts to little more than an extortion threat: If we aren't all-powerful, someone might get raped! Those who wish to avoid crimes equip themselves to stop criminals, rather than afflicting the rest of us with counterproductive attempts to further empower those in authority.

Crime is a quality of society. All human societies will see some level of crime, but there is a great deal of variation. A sick society in which the police are powerful will simply see more crimes committed by police. A healthy society will see fewer crimes, no matter how many police quit for more productive occupations.