If there were an increase in assault it would be when a trans wanted to go in the men's room and I suspect they would be the one assaulted.I think there would be increased sexual assault for really no reason but people's feelings. That being said, I'm "trying" to be ok with it much like I had to become ok with gay marriage many years ago. The difference is that I see increased victimization of women in this situation that didn't exist for gay marriage.
My bigger concern is locker rooms and showers because, again, I don't see how you limit access to only trans men.
Apparently, you never been quiet and innocuous enough to hear women talk. They are not the prudish sex in private.