Is being honest about my identity on my UNF application wise?

Unfortunately, being nonbinary, this will have to be kind of political, however I wish not to debate about what should be, just what is.

I am nonbinary. I have heard that UNF is a very lgbt progressive school, however I have not personal experience corroborating that. Basically, do you guys think that unf will stick to its dedications, and not discriminate if I list my gender as non binary, or given the state of the country and state at the moment, it would be wise to apply with my assigned gender at birth?