We already do. The problem is when the kinds of precautions are expected because we're told that rapists just can't help themselves. Where people must re-arrange details of every part of their lives more so than others because of the mythical monster hiding in the bushes.
So, of course, women must wear whistles, carry keys like weapons, walk assertively to their cars, lock the car doors when they get in the car, learn how to defend themselves when attacked from behind or from the side or when the hair is grabbed, how to get out of the trunk of a car, how to dial 911 when being faced by knifepoint or gun point, body language signals of people we've met on who looks trustworthy, don't wear ponytails to frat parties, don't accept drinks from people you don't know, don't accept drinks from people you've just started dating, know where the exits are and formulate escape plans, and on and on and on and on.
This is an everyday consideration for the majority of women, and I've only listed some of the precautions taken. I have many more as a business owner who employs minorities in a town where there exists a white supremacist chapter a few blocks away (I've already had threatening notes left on my store window).
What I'm wanting to change is the level of freedom that women like myself have and to ensure equal liberties and protections with men. To suggest that women must NOT have the same freedoms as men is what I find to be problematic for a society that thinks all citizens should have equal opportunity.
Am I against taking precautions? Nope. But should a society expect women to take precautions that are far and away much more than men? I disagree. I think that places men in an assumption that they're all potential rapists and all women as potential victims. I don't think that reflects a healthy society at all.