The beauty of secularism was that it was tolerant; it could accept a plurality of people and belief systems. This new brand secularism is as orthodox and stringent as religion used to be (at least in how it had been represented).
I understand that there is a certain appeal to living in a 'secular' society, and I also understand why someone might feel uncomfortable at the sight of the hijab. I think that discomfort is misguided but comes from an honest and decent place. To ask someone to stop wearing the hijab is akin to asking them to stop being a woman, and just be a human. That's just not who we are. To be human is to believe in things that don't exist, to make our lives mean something more than they do, and to actualize our collective imaginations. Anything less is precisely inhuman.