I always laugh at this. Yes, it is likely true that Schiano and Mulcahy got us to the Big Ten, because without at least the appearance of a legitimate Athletics Department, they wouldn't have been able to sell our admission to all the member schools required to vote on it.
That said, 99% of our affiliation is based on us having the strongest cable TV DMA in the nation. The Big Ten could give two shits if we are competitive in football. They don't want us to win. They want us to be good lap dogs, and open up an insane market for consumers and recruits to the current member schools.