BYU has one or the other group in or around the top-10 with some regularity, but it seems like BYU has a hard time getting elite-level performance from both Offense & Defense in the same season:

2001
Mediocre/bad Defense (#86 in total D)
Elite Offense (#1 in total O)

2007
Elite Defense (#9 in total D)
Mediocre/bad Offense (#48 in total O)

2012
Elite Defense (#3 in total D)
Mediocre/bad Offense (#65 in total O)

But every once in a while, we are very good or elite on both sides of the ball:
2006
Elite Defense (#10 in total D)
Elite Offense (#5 in total O)