I can see it now:
"Dad, my classmate beat me up."
"What, where is he. I'll teach him a thing or two."
"Um Dad, its actually a she."
"A she? Seriously son? How did that happen?"
"Flag football in PE. She tripped me and I fell. Then all the girls laughed about it in math class."
"Well I can't have my boy be shown up by a bunch of girls. I can't let you look like a sissy. I'm going to send you to the all boys public school."
Ok, that was just a fun mock up. I'm not completely against the idea, but it is interesting. I went to public school and felt my socialization and education was high in my mixed gender classes. Would students lose out on modern socialization skills? Anybody who went to a same-sex school have an opinion?