As a preface, I respect transgender and transexual folks. It's a rough world, and it takes guts to redefine yourself like that.
But I don't like the term "transgender." Identifying as transgender means you are accepting gender roles. Men are one way, and women are another. It means that if you are one sex, you identify with the roles associated with the other. The thing is, I don't believe people should feel like something is wrong because they don't associate with their accepted gender roles. (By that logic, I would totally be bigender.) Instead, I think that gender roles should be eliminated or adapted to be made more inclusive. People shouldn't feel broken for being themselves.
Identifying as transexual, on the other hand, is more of a physical matter. You feel like you're in the wrong body. I can't speak to that, and this post isn't really covering it, though the two are obviously closely intertwined.
The reason I bring this up is this post on growing up transgender in the LDS church. I identified with lots of the gender issues the author covered. Gender roles are huge in the LDS church. Women and men are separated by the clothes they wear, the domestic and familial roles they're supposed to perform, and their roles in ordinances and other community endeavors. When you're eight, boys get a blue book and girls get a pink/brown book. Then, as soon as you're twelve, you're expected to spend an hour (Sunday services) or more (weeknight activities) each week in classes specifically for your gender. Boys get the priesthood and girls don't. Missions, callings, Temple. Gender, gender, gender.
As a kid, I came home upset or crying many-a-time because I was too boyish. Mostly, I wanted to do well in school (especially math) and have a career eventually (heaven forbid). But, I also wanted to climb trees and play with plastic dinosaurs. I didn't want to have my eyebrows plucked by other teenagers, plan my wedding, or babysit. The thought crossed my mind that I should have been a boy, but I pushed it aside. I like who I am, I told myself, I'm not the one that needs to change. They need to change their expectations.
Gender roles should not make people feel broken. They should not make them feel sad or limited. So before I propose a genderless society, why is gender useful? Are there instances where gender roles improve people or societies? If so, I want to know.