Interesting u bring up Irvin - the hawks are the ones that swooped in to take him at a pretty high slot - and it has been reported that he was being targeted by the jets.
The thing I will say is if the Jets do draft Barr (even trade up for him), then that means Rex must also be high on him, since I figure the Jets would ask for Rex's input on defensive players. More so on the line and CB's. Rex more often than not has a very good eye for defensive players, especially on the line.