A less devious explanation is that after missing the connecting flight, they decided to rent a couple of cars and drive from NYC to Montana to see and experience our beautiful Country. Of course if that was the case, then FBI would have uncovered some evidence that 11 Muzzies rented some cars from one of the many rent-a-car places in the JFK vicinity on July 29th - 30th. Since that hasn't happened, we have to assume that they left the JFK area by taxi or train with no intent of traveling on to Montana.
BTW, seems to me that JFK Airport must have dozens if not 100's of security cameras capable of recording the movements of a person from the arrival gate to curbside departure.
It would probably be pretty easy to see when flights from Egypt land at JFK (assuming there wasn't a connecting flight in London) and then checking on when scheduled flights leave JFK for Montana. How much time was there to proceed through customs? I have a feeling there was plenty of time to make that flight. I also have a feeling that our 5 tardy "students" were helping their buddies, and that is why they "missed" their flight.