Andre Iguodala is always a calming influence for the Warriors.

In Saturday night’s Game 6, he managed to completely fluster the Oklahoma City Thunder on their home court.

Iguodala channeled the 2015 NBA Finals MVP version of himself in the closing minutes of the Warriors’ 108-101 victory, a win that tied the Western Conference finals 3-3 and sent the series back to Oakland for Monday’s Game 7.

“I thought Andre Iguodala was kind of the unsung hero,” Warriors head coach Steve Kerr said. “… Andre made some huge defensive plays down the stretch to give us a chance.”

Iguodala’s impact was all over the Warriors’ 9-0, game-closing run.

With 2:06 remaining, he swooped in for a nifty, left-handed layup that tied it 101-101. After stealing the ball from Russell Westbrook, Iguodala fired an outlet pass to Klay Thompson, who knocked down the go-ahead three-pointer with 1:35 left.

The teams traded back-to-back empty possessions, and then Iguodala came up with another steal. He got the ball to Stephen Curry for the game-clinching runner in the final 15 seconds.

“Andre is one of the smartest, not only basketball players, but he’s an incredibly smart human being,” Kerr said. “He sees everything kind of before it happens, and he’s blessed with great speed, length and strength. There’s a reason he’s been one of the league’s best defenders for a long time.

“He’s really a key part every game for us, because we ask him to do so much.”

Iguodala split his time defending Oklahoma City’s superstar scorers, Kevin Durant and Westbrook. The usually dynamic duo connected on only 34.5 percent of their 58 shots from the field and went 1-for-13 from three-point range.

“You’ve got to make these guys work,” Iguodala said in a postgame TV interview. “Kevin Durant, in my opinion, is one of the top two scorers in the world. We’re in a league where the advantage is to the scorer, so he’s going to make some tough shots, he’s going to take a lot of shots, he’s going to be comfortable all of the time and he’s going to get to the foul line.

“You’ve just got to keep plugging away.”

Playing 38 minutes, including starting in place of Harrison Barnes in the second half, Iguodala had eight points, seven rebounds and three steals.

In the game’s closing 126 seconds, he had two points, two steals and an assist.

“He’s the best defensive player I’ve ever played with and I’ve ever seen,” Thompson said.

That’s enough to make opponents panic.

Rusty Simmons is a San Francisco Chronicle staff writer. E-mail: rsimmons@sfchronicle.com Twitter: Rusty_SFChron