Sociology Sex and Gender

Imagine a world where sex and gender were not a major organizing principle of society. When we found out a couple was having a baby, instead of asking "what is it?" or "is it a boy or a girl?" what might we ask instead?

Instead of boy/girl or women's/men's, how would clothing/department stores be organized? How would restrooms be restructured? Who would we picture when we heard the word "surgeon"? What specific personal troubles might be alleviated for people in this new/imagined society?