Dude, it's Central Park. It will abound with obstacles, from other cyclists to runners to kids to dogs (which can be leash-free from 9am to 9pm).
I've also found that people generally don't like strangers telling them how to manage their kids. I'm sure that if you stopped and someone told you that you were riding your bike too fast or not looking out enough, you'd likely rip them a new one as well.
If you need to hammer, head out to Palisades Park or 9W....