I graduated from UNOH Oct 2012. You will learn alot of stuff about cars, some you will find very helpful some you will have 0 use for. while there i met some very smart people.
last week during the 24hr of daytona i seen students i graduated with on tv working on team sahlen prototype.
Unoh also places alot of students on NHRA teams and arca teams, i know several doing that and are living there deam job.
AS far as my education, im not the worlds best Student, i have a hard time focusing on home work and other school work, UNOH is almost fail proof, show up everyday do your hands on work and you pass.
you can get a business and others with you rmotorsports degree, if your advanced student and can stay focused do both while there.
I will agree with others, engineering will be helpful also, but i know some that degree and cant find a job.

The number 1 thing you must have is a class A CDL! with out that you will be waisting your time looking for a job in racing, dont care what degree you have. UNOH has CDL class, that where i got mine.
hope this helped, good luck