I don't think more police is the answer to reckless driving. I am much more interested in physical infrastructure deterrents to reckless driving - traffic circles are an obvious choice.
My husband was driving our car when the car nearly got totaled in a hit-and-run late at night in downtown Milwaukee a few years ago. The police showed up well after the fact and couldn't really do anything about it. But if the intersection he had been driving through had been a traffic circle instead, that would have prevented the incident entirely or reduced it to a fender-bender.