He with the oldest car or the largest set of cajones has the right-of-way.
My wife and I moved out here to North Jersey about 5 and a half years ago from 30 to 60 miles east of Los Angeles and it only took my wife a couple of weeks to decide that New Jersey driver's motto is "Because I can!"
I'm kind of glad that the main circle in my area (Ledgewood Circle) has been turned into a Tee intersection complete with traffic lights and (practically unheard of in New Jersey, hence the reference to jug handles) even a left turn lane. That thing was a real mess.