I had a dream last night that the sex characteristics of the genders were switched, so women had penises, facial hair, etc., and men had vaginas, boobs, etc., but in every other way (e.g. socially) everything else was the same. In this scenario do you think you would identify as the other gender?

I'm a trans man, and though it feels weird to think about, I think I would identify as a woman in that scenario, but I found the concept interesting and wondered what other people would think.