You better believe I let females know they don't run shit round here. I'm not sexist but I do believe in showing respect where it's due.
I don't think that's something you should put your belief in. Does it make you proud to talk down to women?
I'm a bit of a chauvinistic kind of guy (I'm actually not really proud of it) and I do have to fight the temptation everyday but the more they show they are competent the more they deserve to be treated like equals.
Women shouldn't have to earn your respect. It sounds like you have a lot of stereotypical views about women. You should work to unlearn these stereotypes by spending more non-judgemental time with women and listening to them.
I can't help but feel like there is something wrong with women that want equality. I do believe them to be equal on a intellectual and physical level but emotionally it's another story.
It's not okay to be sexist, and any person who uses the phrase "I'm not sexist, but..." is pretty guaranteed to be sexist. You should be more respectful of the people you work with and you should use spell check more successfully.