Here's an idea I've had for awhile, so please keep an opened mind.
Disclaimer: The Muppets belong to Jim Henson and Disney, and Star Trek belongs to JJ Abrams, Robert Orci, Gene Roddenberry, and Paramount.
The Star Trek Movie
Prologue: The First Screening
It was a bright shiny day at Paracount studios. A car drove up to the gate guard with two Cardassians in it.
"Hello, I'm Dukat." Dukat said.
"I'm Damar." Damar added. "We're here to heckle The Star Trek Movie.
"Gentlemen, that's straight ahead." The guard said. "Private Screening Room B."
"Private screening?" Dukat asked.
"Yeah, they're afraid to show it in public." Damar replied as the two laughed.
They then drove onwards.
"Look at this place." Dukat said. "What a dump."
In the screening room, Carol Marcus, one of the stars of the movie, was talking to some of her friends.
"Yeah, I know, it was great." Carol said with a smile as a robotic man named Lore appeared.
"Hey lady, is this seat taken?" Lore asked as he pulled the seats next to Carol away.
"Hey you, bring that back!" Carol shouted out.
"Ё моё, I'm so nervous." Pavel Chekov, another star said. "If I'm not funny, I von't be able to live vith myself."
"Well then, you'll have to get another apartment, won't you?" Spock said with a smile. As Chekov smiled too at the joke.
"You know, I heard that this movie is dynamite." Vic Fontaine, a supporting actor in the film, said with a smile.
"Popcorn!" A supporting actor named Julian Bashir said. "Fresh organic popcorn, only a buck."
"Oh honey, buy me some, please?" Kasidy Yates asked her boyfriend, Benjamin Sisko.
"Oh sure." Sisko said. "Nothing's too good for my woman."
"Whoo!" The excitable Nog called out. "This is gonna be awesome!"
"Calm down, Nog." Ezri Dax said with a sigh.
"Well I like the movie fine, so far." Dukat said.
"It hasn't started yet." Damar pointed out.
"That's what I like about it." Dukat added with a smirk as the two laughed.
James T. Kirk, the host for the screening and one of the stars of the film walked down as he was stopped by Worf.
"Kirk, does this film have culturally redeeming values?" Worf asked.
"I certainly hope so, Worf." Kirk said before turning to his girlfriend and co-star. "Hey Carol."
"Hey Jim." Carol said. "I tried to save you a seat, but someone took it."
"No worries." Kirk said as he got in front of everybody. "Okay everyone, welcome to the first screening of the Star Trek Movie."
Everyone cheered.
"Now before we begin, I'd like to give thanks to everyone who made this film possible. Starting with the hair dressers to the costume designers and-"
"Jim, I don't think speeches are necessary." Carol pointed out. "We can just watch the credits at the end. Roll the film."
"Well I just wanted to thank-" Kirk began when Nog began shouting.
"ROLL THE DARN FILM!"
"Okay, okay." Kirk said calmly. "Roll the film!"
Kirk then sat down to his nephew, Peter, who looked just like him as a boy.
"Uncle Jim, is this how you guys really got started?" Peter asked.
"Well it's approximately what happened." Kirk said with a smile as they turned to the screen.
I know some of you will be angry with me mixing Muppets and Star Trek, but I figured on giving it a shot, so don't be afraid to tell me what you think. Just please keep it PG.