I'm not so sure that religion comes into play so much as his money, power, and fame.
I have no doubt he used religion (obviously) to prey on women that were either,
A. Looking for someone special. He came across as meeting several expectations that many women, especially LDS, would have. He seemed to be confident, spiritual, well established, and intelligent (Like I said, not exactly limited to LDS women). He also talked about his mission, temple recommends, and BYU education. Though that may fool many, I'm not sure it would fool all. It has been my experience that most "spiritual" people don't need to go parading about announcing their accomplishments.
B. He was a well known figure in politics. He mingled with folks like Mike Lee, Chaffetz, and the governor. In one of his rapes he threatened to report a girl who was on an expired visa. Considering how well known he was in politics, I'm sure this threat burned this poor girl to the core and thus allowed him to take advantage of her. In fact, I'm guessing she's lived a sad tortured life since the rape. The memories of the rape must haunt her and the fear of him following through and getting her deported too.
He owned his own company. I think women would fear more, going to war against a big money making machine with political clout than going up against your average Joe Sixpack.
So while I'm not ready to completely dismiss that religion influenced how the women reported these incidents or how the investigation was handled, I do believe his money, fame, and power could and probably did.
Which is exactly why it's so sweet that he got caught. A complete narcissist who thought that he could use those opportunities/gifts/accomplishments he had to abuse women like toilet paper. I guess money can't buy you everything... But he sure can buy you one hell of a defense attorney.