I’m sorry but nobody has the right to “beat the crap out of” anybody else, cross dresser or not, assumption they might be a pervert or not. Period. Not when you want to live in a civilized society. You don’t take the law into your own hands unless it’s self-defense.
If you are not a woman and you are in the women’s restroom, you are just asking for trouble...
Identity as cross dresser is a bogus story—sorry for the confusion. However, perverts sneaking into opposite sex bathrooms get what they deserve—it is called punishment for doing wrong.