Mark Sanchez hit Santonio Holmes for a 38-yard gain to set up the kick. Two plays later, Folk's attempt was blocked by Randy Starks charging up the middle, but the officials whistled the play dead just as the ball was snapped because Dolphins coach Joe Philbin had called timeout.
"I thought it was the right call," Philbin said. "I was planning all along to call timeout right before he kicked the ball. ... Typically we're going to ice the kicker."
Folk said he had a similar experience with Dallas in 2008, when a negated kick was blocked and he made the retry. He said he and his Jets teammates heard the whistle when Philbin called timeout, and his blockers eased up.
"I'd rather kick it than sit there and not kick it," Folk said. "I got another warmup kick."
Philbin managed a sheepish grin as Folk lined up for his second attempt. The Jets kicker then made the winner.
"You never see that happen," Miami quarterback Ryan Tannehill said. "It's a weird thing. It's one of those things where you say the odds were not in your favor today. It just wasn't meant to be."
On the previous possession, the Dolphins' Dan Carpenter was wide left on a 48-yard field-goal attempt that would have given them the victory. Carpenter also missed from 47 yards early in the fourth quarter.
"I let the team down," Carpenter said.
New York improved to 2-1, and the Dolphins dropped to 1-2.
"It's a tough game," Miami linebacker Karlos Dansby said. "We were inches away from 2-1."
New Jets offensive coordinator Tony Sparano had trouble getting his unit moving much of the day, but in the end he called the right play just enough to beat the team that fired him as head coach last December.
"I think he's happy to get the victory for the team, not just himself," Ryan said.
Tannehill then moved Miami 48 yards, including 19 yards on a third-down pass interference penalty against Revis' replacement, Kyle Wilson. Carpenter's 41-yard field goal with 16 seconds left forced overtime.
Miami lost despite trailing for less than 3 minutes of the game.
Sanchez twice missed open receivers for potential scores, made several wild throws and had a handful of passes dropped. He finished 21 for 45 for 306 yards and two interceptions.
"It was a roller coaster, no doubt," Sanchez said. "The defense and the other players picked me up when I didn't have it. It was an ugly win."
Backup Tim Tebow ran for 5 yards and a first down on a fake punt, but otherwise again contributed little to the Jets' offense.
"We got a win," Tebow said. "That's all that matters."
Holmes made nine catches for 147 yards.
Like Sanchez, Tannehill had an up-and-down day. The rookie went 16 for 36 for 196 yards with the one costly interception.
"We expected to win," Ryan said. "But my goodness, it was tough."
Bush hurt his knee on a carry when the Dolphins were running out the clock in the second quarter. He returned to the bench after halftime in uniform and rode an exercise bike, but remained on the sideline.
All-Pro cornerback Revis departed in the third quarter with a non-contact injury.
Some Tebow trickery led to a field goal by New York. He took a short snap from punt formation on fourth-and-3 at the Jets 30 and ran 5 yards for a first down, jump-starting a 16-play drive that ended with a 3-pointer.
Tebow was the intended receiver on a third-down pass that fell incomplete, and he still has yet to throw a pass this season.
He did draw a big cheer from the crowd when the scoreboard "Kiss Cam" showed him next to teammate Clyde Gates on the sideline. A teammate encouraged them to kiss, but they declined.
Notes: Jets WR Stephen Hill left the game with a right hamstring injury but afterward said he was fine. ... The Dolphins were 10 for 19 converting third down. The Jets came into the game last in the NFL in third-down defense. ... Former Dolphins Yeremiah Bell had seven tackles. ... Miami's Brandon Fields averaged 58.8 yards on four punts.
Copyright 2012 by The Associated Press