Starfleet General Order 1

 Hear me out: I believe this all started with the distress call from Sigma Iotia II. When the Enterprise arrived, they were told that the inhabitants of that planet had knowledge of the Federation's exploration ship, Horizon, lost some hundred years before. This Iotian, Bella Oxmyx, suggests that a team from the Enterprise beam down to the surface so that he can hand over the information personally. Chief Science Officer Spock reminds the Captain that this could lead to a violation of the Federation's Prime Directive that prohibits its members from interfering with the natural development of alien civilizations. Though exceptionally imitative, the Iotians lack many of the components of a culture that would allow them to achieve warp speed and interplanetary travel. Their culture seems based primarily on gangster movies from the 1940s. 

Not to belabor the point to those of you who have seen A Piece Of The Action, but the gangsters of Sigma Iotia II eventually get some sort of order impressed on them via the manipulations of the wily Captain of the Enterprise, much to the chagrin of Mister Spock. Then once the crew is safely back aboard the Enterprise, satisfied with their handling of the situation, it is revealed that Doctor McCoy has left his communicator back on the planet. From the basis of the technology found in that communicator, it is feared that eventually the Iotians will find their way more abruptly to space travel, and warp speed. From there, Kirk imagines it's only a matter of time before the Iotians show up asking the Federation for a piece of their action. 

And what I'm suggesting here, expanding briefly on plot points found throughout at series subsequent iterations that were spawned from Star Trek that it's only a matter of time before the Iotians can figure out how to travel in time as well as space. And somehow, the ancestors of Bella Oxmyx and his kin found their way back to Earth in 1947 where they influenced the birth and raising of their spawn here who would eventually become a real estate tycoon and game show host. 

And eventually find his way into the White House. 

It's the only explanation that makes sense.