Men and women differ in a lot more ways than in their genitals (or other physical characteristics).  But your reading of Genesis seems to attempt to make God in our image, instead of the other way round.  I would not advise trying to understand God by looking at man (I hardly need to add that’s ‘man’ in the unmarked, generic sense).

But nevertheless it may be profitable, in trying to understand ourselves, to look at our fellow animals.  Sexual differences are universal—not only in genitalia and other physical attributes, but in behaviour including (for higher animals) culture.  Why would you presume that humans are any different?

The illogical insistence on “gender equality” insisted upon by Western ideologues is doomed to failure, for purely biological reasons.