He has not been voted down yet and he is the frontrunner due to people believing he can do with the law school what Shalala did with the medical school.
As far as Shalala being one of his mentors, from 2006-2009 the Admiral was stationed in Miami commander of U. S. Southern Command and during that time he frequented Miami as some advisor role where she showed him how the school was run academically.
His connection with Butch is that from 1995-1998 the Admiral and his family were large enough supporters that they got to meet Butch often and they were big supporters from the jump. Since Butch moved to Bonita Beach, he has maintained a positive relationship with the family. They are not, however, best friends.
I was also told there may be a preexisting relationship from when Butch was an assistant to Jimmy but I can't confirm that.