When it comes to batted balls I remember listening to an interview last season with Sean Payton about Drew Brees. He was saying that it is a major focus for the O line to help create throwing lanes and cut the defenders at the line. He realizes that Brees is shorter and not able to stand back there and look over the line. When watching the Saints game last night they even mentioned that Brees takes a farther drop than normal to get a better look as well.
I am not sure if the Jets are as focused on creating better lanes or giving Mark better separation to see over the middle, but it does seem to be working for the Saints.