As an academic, I'd count four of the eight as academics, and contrary to Instagator1's comment, those deans and assistant provosts are 'real' academics. At really large research institutions like UF, you rarely are selected as a dean or provost unless you've already had a substantial career full of publications, otherwise the faculty won't respect your leadership. Abernathy has published over 500 articles in her field (though certainly many of those were published with colleagues), so it is her success in publication that was part of the reason she was selected. I had Virginia Maurer when I was in the MBA program and found her to be thoughtful and articulate. Andy McCullough has been with the College of Business for years and also had a substantial publication background, as well as a reputation for being a great teacher. Michael Sagas also has a substantial publication background. So all four of them would count as academics in my book. Tom Mitchell would not, because, as others have noted, he is a fundraiser. And since Gator Boosters report to the UF Foundation and the AD, it makes sense for him to be on the committee -- fundraising is just part of the AD business.
UF is, after all, an academic institution so it makes sense to have faculty involvement at the highest levels (we have a name for places that don't care about academics -- FSU), but notice that Maurer and Sagas have already been involved in the athletic program at high levels, so they bring some experience and understanding of the program (and in the case of Sagas, national and SEC expertise).
And while there is some professors who "indoctrinate", you tend to find those more in the liberal arts than in the business, engineering, and health&human performance colleges. All told, it seems to me that they've got a nicely balanced search committee that mixes both expertise and broad representation of important constituencies.
So they'll probably screw it up.