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Mocking the Draft has the latest NFL Draft order. The Jets would pick 14th if the season ended today.
The Jets are presumably going to win a few more games with the soft finish to their schedule, which could knock them down further. That's not something to worry about. Knowing what you are doing is a lot more important than where you pick.
In the Tannenbaum Era, the two worst first round picks came in the top ten, Vernon Gholston and Mark Sanchez, came in the top ten. The two best were Darrelle Revis in the middle of the first round and Nick Mangold at the end of the first round. Muhammad Wilkerson was also at the end of the first round, and he looks pretty good. People say winning hurts the team, but competence is more important than location.
Below is the complete current order.
1. Kansas City Chiefs - 2-10 (.507 SOS)
2. Jacksonville Jaguars - 2-10 (.576 SOS)
3. Oakland Raiders - 3-9 (.493 SOS)
4. Philadelphia Eagles - 3-9 (.500 SOS)
5. Carolina Panthers - 3-9 (.528 SOS)
6. San Diego Chargers - 4-8 (.493 SOS)
7. Cleveland Browns - 4-8 (.521 SOS)
8. Detroit Lions - 4-8 (.535 SOS)
9. Arizona Cardinals - 4-8 (.545 SOS)
10. Tennessee Titans - 4-8 (.556 SOS)
11. Buffalo Bills - 5-7 (.497 SOS)
12. Miami Dolphins - 5-7 (.510 SOS)
13. New Orleans Saints - 5-7 (.517 SOS)
14. New York Jets - 5-7 (.583 SOS)
15. St. Louis Rams - 5-6-1 (.535 SOS)
16. Tampa Bay Buccaneers - 6-6 (.451 SOS)
17. Minnesota Vikings - 6-6 (.483 SOS)
18. St. Louis Rams (via Washington Redskins) 6-6 (.510 SOS)
19. Dallas Cowboys - 6-6 (.514 SOS)
20. Cincinnati Bengals - 7-5 (.431 SOS)
Teams currently on pace to make the playoffs where elimination will determine the proper order:
21. Pittsburgh Steelers - 7-5 (.472 SOS)
22. New York Giants - 7-5 (.490 SOS)
23. Seattle Seahawks - 7-5 (.500 SOS)
24. Indianapolis Colts - 8-4 (.431 SOS)
25. Chicago Bears - 8-4 (.507 SOS)
26. Green Bay Packers - 8-4 (.528 SOS)
27. San Francisco 49ers - 8-3-1 (.486 SOS)
28. Baltimore Ravens - 9-3 (.465 SOS)
29. New England Patriots - 9-3 (.497 SOS)
30. Denver Broncos - 9-3 (.500 SOS)
31. Atlanta Falcons - 11-1 (.389 SOS)
32. Houston Texans - 11-1 (.451 SOS)