No. The Pats played consistently well in the last 6 games in 2001, and had to beat two divisional rivals also finishing with 10 wins or more and fighting for playoff spots. Prior to those six games, the Pats went 2-1, with a 1 TD loss to the Rams.
The Jets had 3 consecutive losses before beating the Cats, Bills and Bucs, then losing to the Falcons when barely hanging to a playoff hope. The Christmas gift from the Colts kept the hope alive and a win against the once again reeling Bungals got them in. The story is not consistent play down the stretch, instead it is floundering with good fortune.
I would say the Jets D is better than the Pats D was in 2001 (even without Jenkins at nose), but that offense, other than the win against the Bengals, is spotty at best and wildly inconsistent. If the Bengals can find the old stride (and better do so after last game), the Jets may enjoy a very brief visit to the post-season. The Pats in 2001 were not expected to do anything, the Jets were expected to be a playoff team. Sanchez is not the Brady story.