Looking over its IMDb credits, I see only one name I recognize from TOS, editor Bruce Schoengarth. However, Mork & Mindy was a Paramount production, so naturally it would've had access to all the Star Trek costumes, props, etc. that Paramount had in storage.
The cast of TMP interacted with the casts of "Mork and Mindy" and "Happy Days" in a series of avidly-contested softball games during production. They are briefly referred to a few times in Walter Koenigs's hilarious "Chekov's Enterprise".
"Phase II" Starfleet red shirts, with large silver Orkan triangles sewn on them, have been popping up on the "It's a Wrap!" auctions.