I still have trouble getting my head around the idea that a Driver's Licence shows gender. I was in the Police for 30 years, and as long as it was valid, and the photo matched the person, I can't see the point.
I would be more interested in any outstanding warrants etc if I pulled someone over. But then again America is supposedly the 'Land of the Free', and Australia is still one of those old fashioned constitutional monarchies. 😉