What is important is that you understand, accept, and modify your behavior to be more amenable to, the fear and emotional fragility that other people hold about the topic. It is not their responsibility to become more educated about actual risks - it is yours to behave as if these perceived threats are as likely as they think they are.
As a guy, it bugs me that I am, in a lot of situations, seen as a threat. Walking down a quiet city street at night in my favorite hoodie, women have a hard time recognizing that I am a pretty good guy. They avoid eye contact, and a few cross the street to avoid walking near me. Sometimes it gives me a sad!
But honestly, my minor butthurtness goes away when I think what their experience is like. I'm just not at the same kind of risk they are. An order of magnitude less for sexual assault, and substantially lower for a lot of other crime. So I do everything I can to appear as unthreatening as possible: leaving plenty of room, trying to stay in the light, not boxing people in, changing my pace so it doesn't seem like I'm following anybody. Small things, but it's what I've got.
It's a little unfair that as a guy I have to deal with the fear caused by a relatively small number of total jerks. But having to live with that fear is much more unfair. So I'm entirely in favor of the community shouldering the (minuscule) burden these polices represent.