The Dolphins had two late opportunities, one in regulation and one in OT, to put the game away with field goals from just under 50 yards out.
After Carpenter failed to connect on his last attempt, Mark Sanchez marched down the field, setting up a game-winning chip shot from 33 yards away by Folk.
Despite winding up on the losing end of this matchup against Gang Green, the Dolphins did have a couple of players who deserve a pat-on-the-back for their performance.
Offensive Game Ball: Lamar Miller
The Dolphins' offensive spark faded before the half as Reggie Bush hobbled off the field with an injury to his knee, but Lamar Miller provided a glimmer of hope for the run game in his absence.
The rookie running back had yet another impressive outing on Sunday as he recorded 48 yards on 9 carries, out-performing Daniel Thomas in the battle for touches behind Bush.
Thomas received the majority of the carries, rushing for 69 yards on 19 attempts, but his measly average of 3.6 yards per carry and a fumble rounded out a mediocre performance at best.
Miller, on the other hand, is now averaging 5.9 yards on 19 carries in his first two games this year, officially solidifying his spot on the 53-man roster after this week.
He has established himself as a serious running threat thus far, and depending on the status of Bush's knee, he could emerge as the 'Phins' top option out of the backfield next week against the undefeated Cardinals.
Defensive Game Ball: Chris Clemons
Richard Marshall and Chris Clemons were both beneficiaries of poor throws by Mark Sanchez on Sunday.
However, it was a Clemons pick in the end zone early on in the third quarter which ended an inevitable scoring drive to keep the game tied at 10 apiece.
He did let up some receptions underneath throughout the course of the game, but his clutch interception and ability to step up and stop the run were enough to earn him the game ball on the defensive end.
As the season wears on, the weak Dolphins secondary will rely on both Clemons and Marshall to come up with some big stops and game-changing plays.
Sunday's performance, at the very least, gives fans some hope.