The problem is that you are judging Catholicism through the lens of liberal, secular, humanist, atheistic ideology.  You are projecting those values on to Catholic teaching and concluding that Catholic teaching is patriarchal.  You project the values of modern feminism onto Catholic teaching.  Modern feminism is actually guilty of the very misogyny it seeks to condemn.  That is what is ironic.  You accept the claims of modern feminism uncritically, just as you accept the tenants of liberal, secular, humanist atheism uncritically. 

I do not accept those values.  I do not project those values onto Catholic teaching.  I do not assume the correctness of those values.  I suppose the real debate here is why liberal, secular, humanistic atheism and modern feminism are values through which we should judge Catholic teaching.