Here’s a thought.
I often think young people connect with the idea of being non-binary to make a statement that they don’t conform to societal norms about gender (and in doing so, inadvertently reinforce patriarchal gender roles - because if you can’t be a woman and not conform, then that posits that woman = conforming to gender roles).
So how about a new term? Which encompasses the sex of the person AND their desire to represent themselves as free from gender stereotypes?
So I am a woman and I am unbinary. Smash the patriarchy 
[Title edited by MNHQ at OP's request]