To answer the OP's post. Yes, the Boise State fans have thought a lot about the benefits of the East Coast exposure both in recruiting and in the polls as has Boise State. It is one of the driving factors in their decision to move to the Big East.
In, recruiting, Boise State has already started getting more East coast recruits (mostly from Florida) Chris Petersen even brought in secondary coach Jimmy Lake from the Jacksonville Jags to help in recruiting Florida.
As far as media exposure, the majority of poll voters are East of the Mississippi and in years past a lot of them were in bed by the time Boise state played out west. The exposure they will get in the Big East will help them a lot with exposure to those voters in the East.