If I were born female, I don't think I'd be too different today.
I don't understand gender identity at all. To me, you've got what you've got and the rest is just learned behaviour. There is traditionally understood or accepted male or female behaviour, but it's taught or encouraged.
To me, if you like sports and fighting it doesn't make you male. If you like cook or like pink or something, it doesn't make you female. All kinds of varying degrees and interests for both genders, that it just doesn't matter.
For me sex=gender, with gender just being a nicer way of saying it.
So, I was raised a certain way. With certain ideals and behaviour. And my parents would raise me fairly much the same way. They've told me as such. For some reason, it's more common to give male children things like puzzles or Lego (or at least keep them on it longer), while you jump the girls right onto Barbie. And my parents wouldn't have altered that if I were born female. They'd have kept on the problem solving stuff, for example.
I'd have been raised pretty much the same way, except I'd have a lot more pink clothes than blue clothes growing up.
So, I don't think I'd be all that different. Just...girlish.