It turns out they did. Here it is in all its 80s fashion splendor.
The first four minutes are intro material, and it is funny, but the pace is a little too slow. You can jump to about 4:06 when Shatner appears. Shatner can't really decide if he wants to be the straight man or if he wants to play William Shatner. He comes out opposing Reagan defense policies, and he defends Dobermans to Max.