My god, your theory was really deep and correct in many ways, and you are correct as for Yin and Yang. But still I insist in my theory thinking peace is only obtained by making the Hatred disappar. And to tell the truth the biggest hatred, is the one of the Shinju, hell bound to get it's chakra back. And as for Sasuke his intentions were only revenge and he still doesn't care about anything else except making the world as he thinks it should be, without relying on his friends. He still want's to kill Naruto as said in many chapters and He doesn't even understand Itachi and his Ideals.
Both of them represent Yin and Yang and the world can't exist without it. Naruto and sasuke, their cooperation, and the Will change of the Shinju is the final conclusion of the manga and for pease to be obtained.
Now that is where I find your theory a little off. We can feel love as we can feel hatred, we feel sorrow because we feel happiness, we are alone because we can be with someone. That is balance and the true meaning of Yin an Yang, one exists for the meaning of the other. By removing the hatred, you are removing the peace. Which would result in continuing the circle or completely ending it and everything connected to it, like life. Both Naruto and Sasuke wants the same thing, though Naruto is driven by love for others while Sasuke is driven by his hate from others. Sasuke may not understand Itachi's ideals, but he do understand that they were and are important for him and entire world. The ideal to never give up for what you care about, the ideal to sacrifice a part of yourself in order to make it better for someone else. Sasuke fully understands that, and that is the reason he is not willing to die yet, as he hasn't brought peace to anyone.
Sasuke said one thing to Naruto that is true:
"
You will never understand the pain I've gone through" ( Well he said something along those lines )
That is true, both Naruto and Sasuke have lived in solitude the difference is that Sasuke still lives in it and he wishes not the break out of it, but rather to understand it. That is why he wishes to change the world, so that he can make others understand the pain he's felt and understand the peace they are letting go off. That is the element the Younger Son, Hashirama and Naruto are missing, the element of solitude and hatred. One cannot understand love and peace without first understanding hatred and sorrow. Madara is aware of this, but he's not been able to face the reality of it, he rather choose to make his own reality.
You said that Sasuke don't care about anyone or anything, I think that is both true and false. Its true that he don't really care, but its also true that he wish to care for it. That is why he sought the "answer" from the Hokages. He wished to know how Hashirama felt and how Naruto feels about it. I don't think Sasuke wishes for Naruto's death, but I don't think he wishes for his survival either.
You keep talking about the Shinju as if its the whole thing of a item, when its only half of an item. The Sage being the other part, think about it, the Sage wanted peace and he was able to bring peace to everyone..
BESIDES! The Shinju, which he was never able to bring peace too. Note Hagoromo's words about the Bijuus. He said that a man will come that will lead the Bijuu's in the right direction, he never said the Shinju. He knew that the Shinju was a cancer to earth and peace, and that it would never find peace as he may have seen the Shinju as the essence of hatred itself. Even so, the Sage tried to reason and understand the Shinju but failed as it was not possible. Therefore, splitting it up into several minds and leaving them to the world so that the world could learn each of the minds of the Shinju separately. He always meant for it to be several people to understand them separately, but he also intended there to be one person to lead them. Now, as I talked about the Shinju and the Sage, lets talk about Naruto and Sasuke.
These four things are alot like each other, Naruto knows part of Sasuke's pain in the same way the Sage new a part of the Shinju's pain. However, Sasuke understands Naruto's pain fully but not his ideal. Because to Sasuke, what Naruto did was unnatural as it was not the same as he did. So Sasuke wishes to understand, not just Naruto but the entire Shinobi System. Sasuke is destined to try and force the world into peace, but he is also destined to break that circle of hatred. The Older Son started the circle and Sasuke will end it, but not alone as if he tired he would still be lacking the Yang. Sasuke has always been ready to die for his cause, and I believe he will in the end. See Sasuke knows hatred, solitude, sorrow and every bad emotion better than most, and therefore he knows how to value the good things about them. I think that Sasuke will force the world into peace, but not in the same way as his ancestors, I believe that he will tear away the peace, love and passion of everyone to show them what they are giving up so easily, so that they can value it. And as a value of this, he will lose his life, be it to Naruto or anyone else.
Naruto is the one destined to lead, Sasuke is the one destined to understand.