would it be appropriate to say that the gender identities are "male", "female" and "non-binary"?

I don't believe in gender identity. This is all made up BS that I refuse to participate in.

I'm confused here. Gender identities are "masculine" or "feminine". Sex identities are "male" and "female".

Anyhow, nothing wrong with "non-binary", as in gender nonconforming. I'd be happy with that term rather than "transgender", which has the unfortunate and dubious implication that a person may have "trans-ed" or changed gender.

Oh Hell no!  

Since they are making up terms to make you call them, you make up terms that they must call you....Make up something and DEMAND transgenders to call you by what you want to be called. Their is no intelligent argument to adding to historical gender identities so add to the madness if they are going to legally require you to identify them by a made up term that isn't a cultural norm. 

Make them call you 

"Normal"

"Healthy"

"Sane"

"Natural"

You have the same rights that they do.  Kick their penis if they don't believe you do.

You'd have to ask everyone who identifies as something else to know.

No. "Non-binary" is just a delusion.

 it works.

Male/female

Non-binary (not in the binary of male/female)

They by definition encompass everything. :)

Yes that is correct 

Yes. By including non-binary you're sending a powerful message of inclusion.

It would be appropriate to acknowledge reality, so that's just male and female. 

@Eggman  Biology? That's what proves that only males and females exist, wtf? You truly are a lunatic. Liberal...? What does liberalism have to do with anything. Actually, biology does show this. No matter what chromosomes you have, you will either fall on the side of male or female, period. Here's a good rule of thumb. Barring that you have a chromosomal DISORDER, making you infertile, If you can repopulate with that person, they are the opposite sex of you. If you cannot, they are the same sex as you. It's really that simple. I just finished two classes in human anatomy in college, you dunce. Never once did they talk about a mythical third sex ffs. You are hopeless. Stop responding to me. 

That is pretty much how it is already.

"It would be appropriate to acknowledge reality, so that's just male and female."

Ignore the Evangelist loser, their parents pulled them out of 4th grade biology for being 'too liberal'. 

"That's what proves that males and females only exist"

Actually.  Biology shows chromosomes aren't that simple.   You'd know if you actually graduated.