We flew into Newark and cruised out of Bayonne. It was about 3 years ago. I believe the cab ride from the Sheraton was $35 for 4 of us....The traffic was a little heavy but it didn't take to long. (The cab driver was able to tell us ahead of time how much it would cost)
I will say to catch the plane home...took forever at this airport! They had like 3 seperate security check points...so allow plenty of time.