They do not share the same responsibilities.
First, that doesn't answer the question you are replying to.
Second, any sectarian notions you have about who is suppose to do what in the United States do not apply to this discussion.
We are talking about the United States of America, not your family. Whether you like it or not, your conception of "how it's suppose to be" is functionally equivalent to saying there are certain jobs for white people, and certain jobs for black ones...and partner; that just ain't gonna happen.
So you go right on puling about how shameful it is that men can't keep women in line, but don't think for one minute you're fooling anyone. You are whining at the men, because you don't want to tangle with the women. They take your kind of nonsense MUCH more personally.