We can agree to disagree, or you can start another thread. Either way I think it is a HUGE stretch to start saying that gender should be multi-faceted in any meaningful way. What percentage of viable embryos with mixed gender DNA actually get born anyway? In any realistic way this would be viewed as an anomaly and a mutation that will realistically never be passed into the gene pool as a viable DNA construct.
If we are talking just DNA, one type (Klinefelter occurs in 1 out of every 1000 births (perhaps more frequently).
https://en.wikipedia.org/wiki/Klinefelter_syndrome
However, my point is that you can have, for example, female genitals with a quite normal XY DNA (various forms of testosterone immunity) or male genitals with an XX DNA (syr-region transfer). There are other links in the chain for your gonads to develop as testes/ovaries, and these can be altered regardless of your chromosomes.
I find your last sentence unsettling. Why is whether something can be realistically never be passed into the gene pool as a viable DNA construct" relevant to deciding whether or not they should be forced to fit into a societal gender role?