Watching Sarah Jessica Parker Perform 'Let’s Have a Kiki' on “Glee ”Was 'Surreal' for Scissor Sisters' Jake Shears (Exclusive)

“I was just like, ‘What is going on?’ ” Shears recently told PEOPLE

It’s probably safe to assume that no one in Scissor Sisters ever expected the band’s 2012 hit “Let’s Have a Kiki” to become something of a Thanksgiving staple. But then came Glee. And Sarah Jessica Parker.

During a recent chat with PEOPLE, the band’s frontman Jake Shears reflected on show’s 2012 Thanksgiving episode, in which Parker and the Glee cast performed a mashup of the song and “Turkey Lurkey Time” from the 1968 musical Promises, Promises.

“I remember when that came on — on Glee,” Shears, 46, said. “I threw a party at my house, and we all sat there, and Sarah Jessica Parker doing the intro for the song, I think, was one of the most surreal things I have ever seen in my life.”

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In the show’s fourth season, which found glee club alumni Kurt (Chris Colfer) and Rachel (Lea Michele) living in New York City, Parker played Isabelle Wright, Kurt’s boss at Vouge.com. The Nov. 29, 2012, episode saw Isabelle joining Kurt and Rachel at their apartment for Thanksgiving, unexpectedly bringing along dozens of her fabulous friends — including RuPaul’s Drag Race favorite Shangela.

Scissor Sisters’ original recording of “Let’s Have a Kiki” opens with an extended voicemail monologue, performed by the band’s backing vocalist and “Mistress of Ceremonies” Ana Matronic. The Glee version incorporated that intro into the show, with Parker’s character leaving an actual voicemail for Kurt as she rushes over for the Thanksgiving festivities. The musical number kicks off in earnest when she arrives at Kurt and Rachel’s loft, and midway through Michele’s character begins singing “Turkey Lurkey Time,” fusing the ’60s musical standard with the Scissor Sisters’ house-infused track.

“I was just like, ‘What is going on?’ ” Shears recalled thinking of the number. “But it was gorgeous.”

Related: 'Glee' Cast: Where Are They Now?

The mashup was the kind of unexpected, slightly questionable thing that only Glee could get away with. It was high camp, a label often associated with Scissor Sisters, and one that the band came to resent.

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“I got to meet Gore Vidal right before he died — which was a very special moment for me — and I’ll never forget he turned to me said: ‘Camp is just another word for those who have no talent,’ ” Shears said in a recent interview with NME, adding that it “made me a little crazy” when the band was described as “camp.”

Scissor Sisters recently announced a reunion tour, their first since 2012’s Let’s Have a Kiki tour. The band will play dates across the U.K. next spring, albeit without Ana Matronic.

Most recently, Shears wrote the lyrics for the Elton John musical Tammy Faye, which runs on Broadway through Dec. 8.