You'll enter into this friendship with some idea -- conscious or unconscious -- about what you want to get out of it, but as your friendship grows, you'll both slowly come to the realization that there's really not a whole lot of natural common ground between you. Your emotional needs may not be met in this friendship, and you'll have a hard time connecting naturally. So you'll just have to make your own common ground if you really want to maintain this friendship.
This problem won't be an insurmountable one; you'll just have to face down your very specific ideals about what a friendship should be and then give them up in the face of what you've got in front of you. Reality is better than idealism, anyway, in the end. Reality delivers, whereas an ideal will always be ephemeral -- and often unfulfilled.