I think it was a terrible decision to bring in just Osweiler and Petty for the backup job. The Jets spent $500,000 on bringing Teddy Bridgewater in and parlayed that into a 3rd round pick from the Saints, which was brilliant. They still have Josh McCown, who is a very capable backup. Now that's thinking ahead!
The ideal #2 QB isn't on the roster right now. I don't know if these guys will be released, but someone like a Colt McCoy or Matt McGloin would be a much better backup than Osweiler or Fales.