It's not "stupid" revenge
In many other stories, Sasuke's tale of revenge for the sake of his family would be considered correct and commendable.
This is not a petty vendetta. This is the correction of a terrible wrong done to him, his kinsman, and his ancestors. It starts off simply, as his understanding of the crime is simple, but as the threads of history unweave themselves before his horrified gaze, Sasuke's heart becomes consumed by hatred.
But his initial quest; the revenge he sought in an earnest pursuit of justice - that was righteous based on the knowledge he had at the time.
It's ridiculous and disgusting to say he is not justified even in his turning on the village who sacrificed his family for their own sakes.
He literally CANNOT live peacefully while the heinous murderer of his family walks freely. He is obligated by the ghosts of countless ancestors to execute the man who destroyed their lineage.
Not only that... But on a personal level, he could not live with himself being someone who shirks responsibility and runs away from danger. He won't be that helpless little kid ever again, and he is hell bent on proving this to himself and the world.
When he gets his ass handed to him just before leaving Konoha, it shows him just how little his efforts have paid off. How much distance does he have to cross before he can catch up to this man who holds his life in the palm of his hands? He desperately needs to catch up. And this thing he's got going on with team seven just isn't working out...
Worst of all, even these friends of his don't understand and don't care to. They are all quick to dismiss his revenge as something entirely wrong and even ridiculous. How can he now be vulnerable with those who have rejected his very deepest values? Those who claimed to understand yet deny the righteousness of his cause?
I say, Sasuke had no choice but to leave Konoha, if he was going to retain his soul. It's shit that no one trusts him to make his own choices, even if he is acting wild at the time and is only thirteen... But... Considering their way of life, risking their lives daily, and considering his past trauma and the helplessness that surrounded him all his early life... Isn't it the best thing for him to seek out his independence?