Here's a non-repetitive (clip wise, not song wise), high-quality audio version.
Starring:




Pinkie Pie as Lt. Uhura
Twilight Sparkle as Mr. Spock
Fluttershy as Dr. McCoy
Rainbow Dash as Capt. Kirk
Applejack as Mr. Scott
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My Little Pony: Friendship is Magic is © Hasbro, all art/writing is © to their respective artists.
Star Trekkin' performed by The Firm, © The Orchard Music

Video is legal under fair use:

~FAIR USE~ Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use.