Let's look at the "rivalry." The first 50 years (1922-1972) Utah's record was 41-8-4. Complete domination by Utah.
Then came LaVell. For the next 20 years (1972-1992) BYU completely dominated, going 19-2.
Then comes the last 19 years. In that time frame, Utah is 12-7, including 7 out of the last 10. The more this goes on, the more it looks like this hasn't been much of a rivalry, but more of a LaVell aberration. The reason why it has become "The Holy War" is not due to overall record, but BYU fan's actions during their blip on the radar. Well, what goes around comes around.
So, recap. Overall, Utah is 55-34, with Utah winning 62% of the time. If we take out the LaVell era, Utah has a 78% winning percentage. If we look at the last decade, Utah has 70% winning percentage against BYU with multiple blowouts, and BYU's only wins coming by a combined 12 pts (or 4 pts a win). Huh, the more and more this goes on, it looks like this isn't much of a rivalry, but a period of time where BYU had a great coach and Utah was down.
I just feel bad for BYU fan that caught Utah at a down time, built their lives around the fact that God loves BYU, therefore BYU beats Utah (who mysteriously pours beer on all BYU fans) because Utah isn't BYU. The more time goes on, they were just born at a lucky time, more than BYU is some national power.