OOM: Sorry for the delay in responding. Interesting topic.
That was wordy, but basically you’re saying that there is no real difference between women and men, except the roles dictated by halacha, which just so happen to reflect certain biological realities?
[phew!]
Halacha is Jewish values. Halacha is not egalitarian. Ergo, egalitarianism cannot be “taken in tandem with good old fashioned Jewish values”.