I wouldn't mind if he did to be honest, however we don't know what his full plan is and what that entails for everyone else. He also threatened and tried to kill his own teammates and his sensei who are leaf ninja. Went with Orochimaru who attacked the leaf village and was planning to do it again. Declared to destroy the leaf himself.... I mean come on. He has also shown to be irrational when it comes down to things... like if someone called the Uchiha a worthless and cursed clan he would kill them and anyone else that agrees with them.
To me it would be a VERY risky move to make him Hokage.
He is too unstable.
Sasuke is a criminal that commited treason and aided the Akatsuki, the village has no reason to trust him.
He attacked the Five Kage Summit so they wouldn't approve.
THANK YOU... at least 1 person came up with a reasonable explanation on why he possibly couldnt become hokage, and I agree with your points. I hope he doesn't have a hidden agenda but he just mightTo me, he has more of a claim to the title more than anyone else, and he hasn't exactly done anything that he hasn't made up for. Problem is, we don't know what his true motives are, and what he intends to do when he becomes hokage.