As a resident of the U.K. you will no doubt find a lot of Americans, particularly of a certain age, have a peculiar view on this topic.
In the late 1970s, DOCTOR WHO was syndicated in the U.S.; this means it was sold to individual, independent local TV stations (stations not a member of a national TV network like NBC, ABC or CBS). In the New York City area, it was played Saturday mornings on WWOR Channel 9 (Secaucus, NJ). During this time that the show was syndicated in the U.S., the episodes circulated here were limited to a loop from 1974 to 1978; all Tom Baker shows. The first was "Robot", and the last was "The Invasion of Time". That's all many Americans exposed to DOCTOR WHO saw until the early 1980s, when the syndication deal was ended and the show was picked up by PBS (public broadcasting, which also played MASTERPIECE THEATRE, ARE YOU BEING SERVED?, ALL CREATURES GREAT AND SMALL, and many other British shows) throughout the rest of the decade.
It is because of this peculiar business dealing that many Americans (especially kids and young adults of that time) have a more powerful attraction/familiarity with Tom Baker as the Doctor.
STAR TREK: THE MOTION PICTURE made its debut in American movie theaters on 7 Dec. 1979 (the 38th anniversary of the Japanese attack of Pearl Harbor; thus memorable because the show opened on Pearl Harbor Day). So, along with TAS, TOS was also syndicated from about the early 1970s clear through the 90s. This is when TOS gained its "cult status", especially the mid-70s forward. So TOS, TAS and "Baker" WHO were all syndicated in the same time frame, and that's when the buzz was generated in the mindset of many Americans who watched those shows in that era.