"We" were already won over. A century ago. That there is lingering sexism is not surprising, but I do not think it will be solved by coddling the precious feelings of the worst offenders. They should be taught what being a decent human being is, and from an early age. The condition has never changed, only the shape of the challenge.
Are you suggesting we use coercion to establish social norms of the "correct" behaviour for men and make feminism compulsory on them? I'm not saying your wrong (as I think it's logical and even reasonable), but the ethical implications that we cand and should "indoctorinate" men and boys to behave a certian way are worth discussing.