I've written about this before in other threads about what I get from being a bisexual male, but I recently had a chance to explore my "female" side further so I thought I'd share on the topic. My female awareness started early when I discovered that I enjoyed sucking my buddy's cock more if I imagined I was a girl when doing it. I didn't have a feeling of gender confusion really, but I had wondered what girls felt when having sex, so that's how it worked in my young brain. It wasn't long before my mind wondered to what else I could enjoy as an extension of my oral gender bending fun, so I started exploring anal play and found the "like a girl" idea worked well for that too. After a while I could slide down on my dildo and imagine it was filling my "pussy" and work myself to very interesting orgasms without touching my cock, and even cum without an erection. By the time I finally got around to having sex with another man in real life I was quite adept at imagining myself in the female role and loved the way my body would respond so differently than when I was with a woman.
With a woman my nipples have almost no response, but with a man it feels like I have breasts that I love to have fondled and squeezed. If a woman penetrates me with a finger I feel nothing sexual, but for a man I will open myself and moan from the pleasure of his cock plunging deep inside me. With a man I can have multiple orgasms and cum just drips from my swollen but not hard cock and I could go on for hours; but with a woman I have one cum shooting orgasm and need a rest. I love fucking a woman in the ass, but(t) fucking a man doesn't interest me, nor does a woman with a strap on. With a man my cock doesn't get very hard, but is super sensitive; with a woman I get hard as a rock but it takes a lot to get me off.
So that's my version of gender role-play. When I'm with a woman I respond like a man and I never think about being a woman at all. But get me naked with a man I turn into a real cock hungry cum slut with small tits, an open swollen pussy and an easy to find clit. I tried dressing the part once or twice but it didn't do anything for me, and I'd rather be naked in any case anyway.
For me , bisexual is really both worlds.
I can relate to your post very well. I too am bi, and I started dressing as a way to submit to my friend with benefits. I have since moved on from him, but the thrill and interest is still there. I have a b/f now who loves to dress me. I love to wear panties under my work clothes. The soft feeling of women's lingerie against my cock and bottom is so...hot, for lack of a better term.
When I am with him, I am so incredibly easy...it's not funny. Dressing has helped me not only explore my submissive side, but also has helped me grow and appreciate the beauty of a woman's body.

I guess I'll always find myself trying to work out this whole gender jigsaw. Some of those old posts were really interesting.