I lived for some time in a Muslim culture country. It was officially secular: about 30% of women wore western clothes, with or without head coverings, others wore a sari (a proportion of the population was Hindu), still others wore the shalwar kameez, some were in hijabs, with or without abaya, some in chadors, or niqabs, some chose the burqa. I wore the hijab because it protected me from the sun. I was part of many discussions: the pious wanted us all in burqa, others had arguments for their choices, and the non-religious demanded I take off my hijab because I was encouraging oppression, yet many of the women I knew who wore hijab were not even remotely religious: it was just their take on their culture.
I don't care, one way or the other, about religion or the French fixation on anti-clericalism/secularism, but I do care about women making their own choices in a democracy. I am not sure how the francophone fixation on banning religious symbols, whatever the religion, sits with that. I wonder, too, did the almost universally male anti-clericals of the 19th and 20th century ever bother to ask a woman for her opinion?