No, he graduated from Ferris State University, not the University of Michigan or Michigan State. Second, look at this resume:
1990–1991 Rutgers (GA)
1992–1994 Wilkes (OC)
1995–1997 Ferris State (OC)
1998 Central Michigan (TE)
1999–2001 Central Michigan (RB)
2002–2004 Central Michigan (OC)
2005–2006 West Virginia (WR)
2007–2009 Central Michigan
2010–2012 Cincinnati
2013–present Tennessee
He has absolutely no prior connections, as a coach, to either Michigan or Michigan State. Cumulatively, his greatest prior experience is Central Michigan, he has already been the head coach there and this is a huge step up for him.