First, let’s look at the direction of Tyson’s Feeling function. Tyson revels in drawing out his points in order to build verbal crescendos and climaxes for the audience. Introverted Feeling (Fi) is about sincerity and raw immediate emotion. A constructed, built-up crescendo, by its very nature, is not sincere and immediate, but in fact the very opposite of Fi. So Tyson’s Feeling function is likely to be extroverted.
Next, let’s look at Tyson’s manner of presenting information to his audience: There are no disjointed, free-vectored nuggets of truth. In fact, every single piece of history, detail or fact that he presents to his audience aligns with his agenda to form a coherent and linear narrative. If this is indeed correct (and Tyson uses Fe and Ti), Tyson’s use of Introverted Thinking (Ti) is likely to rank somewhat low in his function order.
Notice further how whenever Tyson presents a piece of information, the “correct” attitude (i.e. what he wants us to think about something) is already obvious even before Tyson reaches any conclusion or presents any actual argument. So Tyson’s Fe must rank as his first or second function, and Ti is indeed likely to be either his tertiary or his inferior function.
We are thus down to four types: ENFJ, INFJ, ESFJ, or ISFJ
All rules of thumb obviously suggest that Tyson is an iNtuitive, but his manner of expressing himself traverses upon Sensing as he saturates his narrative with facts and details and takes care to hammer home the point by repeating it over and over with different fact-oriented examples. Yet when Tyson uses facts, he uses them in an immediate, sudden and surprising way, like a rabbit springing forth from a magic box. Tyson’s use of facts is that of a performer and not that of someone who wants to archive the facts and to subdue them by putting them in their proper context and order, as an Si user might.
So Tyson’s use of Sensing is extroverted, and this leaves us with two types: ENFJ or INFJ.
Here the thing to note is that Tyson’s manner of presentation is entertaining, animated and improvised, and that Tyson himself makes eager use of body language while presenting. He appears conscious of his Se mavericks as if he anticipates the audience’s reaction to those shenanigans in his mind, even while he is in the midst of presenting them. Hence we posit that his Se must be conscious to some degree and that it is actually Ti that is his repressed function.
Thus he fits the bill of an ENFJ spokesperson uniting people (Fe) in the pursuit of a common vision (Ni).
Update December 2012: We recommend this short video in amplification of our argument that Tyson has a well-developed Fe function. (Hat tip to Desmond F.)