Woah. If you just ignore gender and race they aren't things that will just disapear. Both are social constructs. They're hasn't been a culture on earth which hasn't seperated genders or races.
But that idea of what is appropriate for each gender changes from culture to culture, so it certainly is not something born in. There are physical differences in the sexes yes, but the standards we establish otherwise are invented. We need to get past that.
I don't live by standards of race and gender, so why do we need to keep doing so if it's obviously hurtful? Relationships would be easier without gender mindsets, I can tell you that.