You've got it wrong--the actual rate of abuse has gone down considerably, not merely the same as it used to be. You are right that it's being magnified by the news competing for eyeballs.
And the greatest risk isn't the stranger, it's people you know and trust. The vast, vast majority of people aren't going to harm a kid--you teach kids that if they need help they should go up to an adult and ask. That reduces the risk much further.