In 1994 I taught a dedicated Muslim woman who came to class every day in a hijab. I never so much as commented on her clothing. She was covered head to foot in the middle of the summer in Phoenix, Arizona. Later on that same year I had another student who was also a Muslim, from Iran. I told her about my previous student, and she told me that Muhammad taught that women should wear the hijab in order not to draw attention to themselves. However, in our culture, wearing a hijab would have the opposite effect, it would draw attention to herself. So, for the very reason that Muhammad gave for wearing the hijab, she would not wear one.
I think this illustrates a basic difference in the way revealed texts are interpreted. But which of these do you think was most faithful to Islam?
Looks like I covered this in '08, see the link.