I think that the idea that both genders should love and respect each other is a dangerous thing. It's a nice idea, don't get me wrong, but the idea itself put into action as the only right idea doesn't seem right. It's like dictating how people should feel.
So I say, it's okay to be sexist as long as you don't carry it out. The battle shouldn't be about what way it's right to feel, but the right way to behave.