I am brown guy who sports a light beard. This combination alone has got people discriminate against me. Something as simple as being refused a bacon sandwich thinking I am a Muslim. I can imagine how these prejudices affect us and especially people wearing a turban or hijab. The outlook has to change, not the hijab. She can remove the hijab but what about the color of the skin? That cannot be changed.
However, I also agree that we, human beings, run to stigmatize an entire community rather quickly. For example, much of the Indian community in India thinks that "white" folks are more promiscuous. All of them. It is a widespread notion that they are ready for sex. There is no research that I can cite and only a few personal experiences and examples. e.g. http://www.whiteindianhousewife.com/2012/04/the-other-side-o...
How can these things change?