We are talking about one half of the human race as if it were a homogeneous group. I think I have more in common with many men I know than with many women I know. I offer help, open doors, give up seats, etc. to anybody who seems to need my help, regardless of their gender. I often ask for help in lifting my heavy suitcase and I don't think it demeans me in any way.
I want people to be treated as people and not separated out into genders.
It would help, of course, if the great world religions stopped treating women as not quite human! How can women stand to be told they are not able to become ministers, to attend certain services, or sit in certain parts of their place of worship? I know Christianity is moving in the right direction, very slowly, but Islam leaves me in despair.