Society has sanctified the women, not only her private parts. As a mother, as goddess, as wife and as daughter. Society has sanctified them as life givers, foundation on which any society survives and grows.
Even today, with all the technology at our disposal, it is possible to create life without a man, but not without a women.
As for protest by men, Men are sanctified as protectors. Society shows no sympathy if men abdicate that responsibility or is just plain incapable. Of course, the social norms are formed by men in the first place.
Now women can become both life giver and protector, but men can only be protector, never a life giver. So if you abdicate your responsibility as protector, you are pretty much useless in society at a very fundamental level. Think about that.