It gave Huey Lewis enough of a headache to sue Ray Parker for copying "I Want a New Drug" (the judge agreed with him enough that Parker had to settle out of court for an undisclosed amount).
Amazing that Jeffrey Tambor was a big enough name way back then to be asked to be in the video, although I think that in additiona to asking some big names, they also grabbed whatever actors/stars that happened to be on the studio lot that day. His biggest credits at that point were Mr. Mom, "The Ropers" and a recurring role as the cross-dressing lawyer turned bearded judge on "Hill Street Blues".