But they wouldn't be indiscernible from a woman. Male socialisation and decades of experiences as a man don't evaporate just because someone has surgery. Womanhood isn't just about what you look like.

You might just as well ask if it's possible for a human being to become a camel. It might be possible at some future point to alter a human being to the point that they are physically identical to a real camel, but would a human being truly think and feel and behave the way a camel does?