I suspect that Alaskan men know if they walk into a  Alaskan women's restroom with the intent of assaulting a woman, he better be prepared for the Alaskan Tuff women who will defend themselves or other women/children.
But seriously, after spending 27 plus years working with victims of domestic violence and sexual assault, the number of men dressed up as "women" to assault a woman in my experience was ZERO. 
I do know of cases where female teenagers were sexually assaulted by a (one) male co-worker who was a teenager. He was a predator who waited for the opportunity when a younger co-worker (female) was alone in the dressing room. 
Does this mean that women don't get assaulted by males in bathrooms or locker rooms? No, but when they did, it was because a man dressed as a man either stalked his victim and attacked when she was alone at a time or place where no one else was present or expected or he assaults women whenever he finds them alone in a place he feels "safe" in attacking.