Here is the plain hard truth. This is a problem caused by men, not women. This is very difficult for some men to handle, because they fear the power of a woman's sexuality, and the power of women in general. This is reality. Some people can handle it, and some cannot.
A false rape charge is no more caused by men (in terms of moral blame) than my lack of belief in Allah causes an Islamist to seethe in rage at my infidelity. And if some false rape charges are influenced by the differential treatment of men and women's sexuality (e.g. slut-shaming of women), then as 51% of society (and some very vocal slut shamers among them), women are in fact more to blame than men.
I don't fear the power of a woman's sexuality, since it has never held any power over me.