“I also wonder whether anyone has any halachik opinions about women learning the laws, le’havdil alfei havdalos, of other nations?”
I can’t imagine why there would be any issur in learning the laws that you are required to follow in the society in which you live. After all, dina malchutcha dina *is* the halachah. And accidental violations can carry severe penalties as we see with the bocherim in Japan; had they been smuggling the antiquities they thought they were smuggling they would have paid a fine and been released. (Of course, smuggling violates halachah too, but that is another issue.)