I saw this on a weird web site called Imgur that I look at most days. I'm not really sure what it is but people post all kinds of odd stuff.
I've got no problem calling people by the names they choose; personally, I chose "God" but nobody will call me that, except sarcastically. But people, including me, don't get to pick the pronouns I use for them. I go by my own set of rules. Here they are in draft form:
1. Men are "he/him" and women are "she/her".
2. Flaming queens are still "he/him"; dykes are still "she/her".
3. Men who look like women and act like women are "she/her" unless it's just something they did for a Halloween party or a Krewe Ball. Women who look like men and act like men are "he/him" unless it's just a direct-action political protest or something like that.
4. There are no "they/them" individuals. For anyone who insists they're not binary -- whatever the fuck they mean by that (and I suspect they don't really know but just want to shock) -- the only alternative to "he/him" or "she/her" is "it/its". Don't like it? Tough. That's the way the language works. Deal with it.