You're right it won't sit well with Neji. When you really think about it, it really makes sense we don't know the actual attacks of the Akatsuki Leader, so we'll have to stay away from using the name Akatsuki Leader. However, the clone of yourself will represent the Akatsuki Leader indirectly. The clone would be equal to the Akatsuki Leader using Shoten no Jutsu (Shapeshifting Jutsu Technique). Which means you would fight yourself last, which would scrap my mirror stat idea.
The good thing is that many people will be killed by themselves just as they think they made it to the last opponent (Nothing is worse than getting killed by yourself)
The first two doors would have have to be Yura and Sasori, the puppet and the puppeteer.