First of all, after this great suggestion of mine, I demand free for life supporter. If not, I am taking my idea and saying bye bye! :D
Regarding the structure now, there are two solutions:
1) Make the width of the game page bigger (hope that such a phrase exists! :P). I guess that it is set at 50% of the whole page right now. What about 75% or even 80%. This way, there is the option to add menus on the right side too, so the game page becomes 3 columned.
2) Menus expanding verticaly. I don't know if any of you have tried Charazay, but they use such menus there. So, when I first login I have X closed "menus". This way, you can add as many menus as you like, without worrying about how much space they need.
A graphical visualization is essential though, no matter which option you make. At least, that's what I believe.