If you do nothing about the shortcomings of the culture we live in, you are only contributing to the problem.
Gender roles are the only thing holding our society together? News to me. If you can describe exactly how society would fall apart without them and provide proof for your claims, I would be happy to consider that.
Many, many men have opened doors or held doors open for me and other people in my lifetime. So have many women. I often hold doors for people. It's just a nice thing to do, regardless of gender roles. I certainly wouldn't complain about no one holding doors open for me, unless I was carrying something heavy and couldn't get the door open by myself.
The fact that you blame women who dress "sexily" for being labeled as "meat" only proves my point further. It's people like you who say "she was asking for it!" when a scantily-clad woman is raped. There is no excuse for treating another human being that way.
Yes, you're right. There is a woman holding that position right now. But she is the first woman to ever do so. It's an anomaly for a woman to have a position of power like that, not the norm. Also, I didn't mean in politics, I meant in society. If you think our society isn't patriarchal you must have your head in the damn sand.