IMO the changes have a lot to do with socialization.
I was on hormones for like a year and a half before going full-time, and frankly didn't feel much different in terms of how I related to women versus men from when I was pre-hormones. Women were still these shining pillars of femininity that I couldn't get closed to, and they were still treating me as an "other" so I had a hard time feeling like I actually was one of them even though I talked with them so easliy. And men were the same guys as always, the group that I was reluctantly stuck with even though I didn't completely relate with them because of their occasional "need to prove my maleness" behavior.
Going full-time is what changed this.
Now that I've actually had a chance to do some "girl bonding," (particularly thinking of last night's escapade where a bunch of the girls I was with got drunk, and the entire conversation devolved into sex talk where the lesbians were ripping on the straight girls and everyone was revealing secrets and then suddenly everyone started touching everyone else's boobs,) I definitely feel included with the women. It's those emotionally-intimate moments that set male socialization and female socialization apart. And after a lot of that touchy-feely socialization (which I love,) the male standoffish "bro" socialization just seems a lot more alien because I'm not included with it anymore. Now it's more "just guys off over there doing guy things. Whatever."
So again, I'd say the real difference isn't hormones, it's more how we view ourselves. Hormones made a little difference to how I respond to things, and definitely made me more prone to hugging and crying and having a greater reaction to cute things, but it didn't really affect my socialization or how I viewed and related to men and women until the female hormones were combined with being perceived as female by others.