No one claims the Big East is a good football conference, but it is not even close to compare Boise State's schedule to WVU's. Per
www.teamrankings.com, over the last 9 years, WVU's average SOS is 29, while Boise's is 56. Boise's SOS was over 60 during 4 of those years, and WVU's was never above 41.
Boise's quality wins over that period: UGA, VT, Oklahoma, Oregon (2)
WVU's: UGA, Oklahoma, Auburn, GT, Clemson
The quality of wins are pretty comparable.
WVU holds the edge with 3 BCS wins compared to 2, as noted.
I have trouble giving the overall bowl edge to Boise when 3 of their bowl wins are the Las Vegas Bowl (twice), and the Fort Worth bowl. There is a difference between playing in the Las Vegas Bowl and the Gator Bowl.
Admittedly, the Stewart years are a black eye for WVU football. Boise had more quality wins that I originally remembered, but I have a hard time calling Boise more successful over the last ten years than WVU. It will be interesting to see how things go for them in the Big East.