Ah.
Well, naturally, I try to treat every person in my every day life with a modicum of respect until they have proven themselves to be unworthy of that.
However, by and large, I would say I am admittedly kinder to women. I am more willing to assist women, especially in physical tasks, as I know by and large they may require more help. But this does not mean I will treat men horribly. I tend to be less willing to step in and assist them with physical tasks because a lot of the time men do NOT want the help.
I am a little more gentler in my wording with women - but not to the point of hiding my views or points. Meanwhile, I am blunter with men (though I have held back with particularly sensitive men in my day to day).
I guess I do still believe in chivalry, in a sense, but I would carry anything for the elderly (man or woman). I hold the door open for anyone. But it's... subtler things, such as how I approach topics and whether or not I offer help immediately or later.