Yes I am sure in their community no children would ever fight in front of their parents, and they only meet up with their friends during homeschool hours. "Times up, junior, let's return to our cloister and shutter the windows for the night."
School is not the only place one finds romantic partners. As for fights, fisticuffs are not generally an accepted method of conflict resolution in the adult world anyway.
Fights and fighting aren't the way adults usually solve issues, but it's an important part of growing up (if for no other reason then learning that you've no taste for it).
I was not homeschooled, and I never fought, dated or slept with anyone in my school. So I would not really see these things are inherent to the public school in and of itself, but rather to the character of the individual in question.
There's an entire other side to the socialization we find in schools.