The optimal choice is to have the Patriots finish with a better record, which would require the Jets to lose 2 games regardless of opponent. In a tie, we have to go through the procedures:
NFL Tie-Breaking Procedures
1. Head-to-head is a draw at 1-1, so next tiebreaker is necessary.
2. As it stands, the Jets have only lost 1 division game with 2 left on their plate (both home games against the Dolphins and Bills). The Jets would have to lose one of these. If that happens and they're tied...
3. Goes by common opponents. The Patriots have played 8 games with common opponents (6-2 with 4 more common games left), while the Jets have played 7 (5-2 with 5 more common games left). Under the scenario presented, the Jets have lost one of the two remaining division games, as mentioned in #2. That would put the Pats ahead of the Jets in common opponent record, and give them the tiebreaker.