The drive took just two minutes, 38 seconds.
Lee, a second-year linebacker, has been a focal point in the Jets' defense and played well after struggling early in the season.
The Jets, though, for the most part in the first half played Cover 1 defense, which utilizes man-to-man coverage underneath, with one safety roaming deep in the center of the defensive backfield. The Chiefs led by two scores and had ran just six plays on offense.
Revis last played on January 1 here at MetLife Stadium in his final game with the Jets.
Kansas City's Tyreek Hill was the star of the show for Smith and the Chiefs with his 185 receiving yards and two touchdowns, but New York's Robby Anderson and Jermaine Kearse had a show of their own. He threw for more than 300 yards, and had a 70-yard scramble in the second quarter to set up a field goal.
Making matters even more unusual is that Peters walked off the field in disgust despite not actually being ejected.
The Chiefs were flagged for defensive holding again on the ensuing two-point conversion attempt.
Even after all of that, the Chiefs got the ball back down 38-31 with 2:15 left - still plenty of time to drive down the field and tie the game.
In the fourth quarter, the Jets gave up a 40-yard touchdown to Hill.
Later, cornerback Marcus Peters, frustrated after seeing penalty flags fly in after the Jets' two-point try, picked up one of the yellow flags and flung it into the stands. Smith's pass sailed incomplete - there wasn't a receiver in the immediate vicinity - ending the comeback bid and cementing yet another loss.