This is an old joke but, I think, a clever one. And I am sure most Catholics, and indeed most other Christians, can appreciate it. When I first heard it the city was Atlanta. I guess New York is topical for the current visit.
Seems to me this little detail adds to the humour.
Thanks to Institute for Humanist Studies:
The Pope Visits New York
The pope goes to New York. He is picked up at the airport by a limousine.
He looks at the beautiful car and says to the driver, “You know, I hardly ever get to drive. Would you please let me?”
The driver is understandably hesitant and says, “I’m sorry, but I don’t think I’m supposed to do that.”
But the pope persists, “Please?” The driver finally lets up. “Oh, all right, I can’t really say no to the oope.”
So the pope takes the wheel, and boy, is he a speed demon! He hits the gas and goes around 100 mph in a 45 zone. A policeman notices and pulls him over.
The cop walks up and asks the pope to roll down the window. Startled and surprised, the young officer asks the pope to wait a minute.
He goes back to his patrol car and radios the chief.
Cop: Chief, I have a problem.
Chief: What sort of problem?
Cop: Well, you see, I pulled over this guy for driving way over the speed limit but it’s someone really important.
Chief: Important like the mayor?
Cop: No, no, much more important than that.
Chief: Important like the governor?
Cop: Wayyyyyy more important than that.
Chief: Like the president?
Chief: Who’s more important than the president?
Cop: I don’t know, but he’s got the pope DRIVING for him!