I agree that its ideal, but how would you even do that? Its so engrained into peoples' brains that I doubt it could even happen unless the vast majority of people agreed to not teach the concept to their children.
In an extremely blunt way, it's correct. It obviously extends beyond grammar, and I have an entirely different stance on how 3rd person pronouns should be handled in English that described, but the premise is solid. Take where you would typically use gender, and, like, don't. Obviously you would still have biological sex for things like medical records, but it wouldn't be tied to who you are as a person, it would just be a letter on a paper somewhere.
Responding here since I didn't know how to ping you in the other comment, in a sort of blunt way, you're correct. Everyone would simply just be, not categorized into gender and the associated social expectations that come with it