I do not think there is an actual "Cult of Trump." For me, the one thing that all full-blown cults have in common is family/friends shunning a person just because they believe something different or walk away from the cult. That's definitely not the case here.
However, I think this whole idea of the Cult of Trump really springs from Trump himself. It goes back to before the election when he said (something to the effect of) 'I could run out into 5th ave and shoot someone, and not lose a single vote.' Although I'm sure that was hyperbole, the idea that followers/voters would ignore clear signs something is terribly wrong with their leader and loyally follow them regardless. . . . pretty culty.
But then again, it seems like ALL politics are pretty culty. And throw in the media like Fox News or MSNBC who are respectively right and left propaganda machines that (try to) control people's information -- the whole mess looks cultier still.
One of my biggest disappointments waking up was that politics (at least in the US) is utter BS. . . . . oh well. . .