Let me just begin with saying that some things can't be explained rationally, like transitioning.
1. If your memories have been "warped" in such a way that you use them as evidence for transitioning, then by your logic, they were morphed that way because you want to transition.
2. The fact that you see yourself as having a feminine soul already shows that you don't follow the norm.
3. What it means to be a woman is to see yourself as one. This is all that matters. There are no other standard traits that make you female.
4. The fact that you have to ask yourself this question instead of actually being able to identify such an issue makes this seem like a "what if" argument, which makes this an empty point. What if you aren't trying to escape masculinity?
5. I know I am a girl on the inside, yet I still play video games like Super Smash Bros Brawl for crying out loud. I own an aluminum Captain America shield and a Master Sword//Hylian Shield set. I love comic books and martial arts. I also hate watching sports, but I love cooking and baking. I love mountain biking and I don't mind getting dirty, but I also shave my legs for no logical reason. I own knives, but I also watch Desperate Housewives and Drop Dead Diva. (Phew) The point is that no one is a complete stereotypical girl or boy. People have their own interests that can be deemed male or female by society. Once again, what matters is whether you see yourself as a girl or a boy, regardless of your seemingly "male" interests.
6. Sex is a natural part of human nature and the fact that you dream of having sex as a woman indicates that you want to be seen and treated as the woman you see yourself as.
7. Food makes money for farmers and companies, yet people still supply food because its necessary. Firefighters make money, but they all want to help people. The point is that not everything that provides a monetary benefit to someone is an evil system. I will tell you that transitioning is hard; you will have struggles, but nothing that is worth doing comes easy.
8. Believe it or not, how people see you does matter to everyone to some extent. You won't get a complete female experience if no one treats you as female, which is why you feel the need to change your body; so you can LIVE as a woman and not just see yourself as one.
9. Dreams are a reflection of daily events to some extent. It's hard for your mind to make an image you have never experienced (seeing as there is no physically female version of you). I used to have this problem until one of my friends pointed to a girl that they claimed looked like a female version of me. Ever since, I know when I am in my dreams, but I always see that lady, even though I know it's me, or at least what I want to be. Plus, dreams don't always mean much. Once, I have a dream that I had animorph powers...