Wow! This is soooooooo interesting.
Because, I tend to behave much the same way as your girlfriend. I just think that the guy will take the lead, and I'm pretty shy about that. Even after several months I feel this way.
And in response, .... he hasn't indicated that this bothers him....but I wonder if it does.
In fact, to her, if you were to just break up with her and go out with another girl, she would probably conclude that you didn't like her that much. When, it seems, that the reality is that she really does like you, but she has different ideas of how intense a relationship needs to be in the early stages - and she doesn't know how intense you want it to be either, from what it sounds like.
And how interesting that you would consider communicating this to her by breaking up with her!
Don't do that!
Nothing wrong with a slow moving relationship, nothing at all. Gives time to get to know each other honestly, to allow each other to have their own lives while incorporating this new person into it....
Nevermind, I hate to say it, as I don't really think that ALL the work should be on the guy. However, as girls, we do kind of like it for men to take the lead. It provides reassurance and makes us feel good.
Good luck! Keep us posted.