Should you talk to the police if a false police report has been made against you?

I think you should.

You should also get a lawyer to help you out legally, and never take matters into your own hands.

Added: Good advice on retaining an attorney, but if you don't speak to them - when they begin the investigation - how are they ever going to determine that you were NOT the party, or did not commit the offense, you were reported to have done.