You are on to something but a bit off. Itachi made Sasuke a hateful person for 1 reason. He hoped Sasuke would kill his best friend, obtaining the MS, and then killing Itachi with it, would gain an even more powerful MS, and after obtaining Itachi's eyes, gain a power on a whole new level. Why did Itachi want Sasuke this strong? To defeat Madara ofcourse. His hope was that Sasuke would also seek justice, but Sasuke only stuck to revenge, allowing Madara to manipulate him.
You are a bit off as well,bro..