Some of these are what I would describe as strategic definitions of "getting it" and I agree with every one of them. On a broader level, however, I would say that the phrase means that he understands, on a visceral level, the extraordinary pride, fervor, historical significance and deep sense of tradition which members of the Big Orange Nation associate with Tennessee football. Note the seriousness with which he makes reference to himself as the "steward" of Tennessee football.
To borrow a common phrase from the Vietnam War era, he is deeply immersed in the process of "winning the hearts and minds of the people." In so doing, he is rolling out one motivational program after another, all of which are geared to win the support of different constituencies, whether it be faculty, former players, alumni, family of current players and future recruits, etc. And I might add that he is doing a masterful job of doing "it." There is definitely a method to his madness or "organized chaos" as he sometimes describes "it."
P.S. As we actually approach football season, it will be interesting to see what he does to more effectively marshall the support of the student body as a "12th man," something he really hasn't focused on yet and understandably so.