Naruto wanted to become Hokage to get acknowledged by the villagers and other Shinobi, right? Well, I think he's already got acknowledged by all the Shinobi alive - or even dead, if you count some of the Edos - which is what he wanted. I don't think Naruto will become Hokage anymore. Naruto is now not only known throughout the entire Shinobi World, but respected and considered one of the most powerful Shinobi alive, if not one of the most powerful Shinobi to have ever lived.
Besides, after all he's done for the villages, the title of Hokage wouldn't do him justice!
Which is why I believe Kakashi, Shikamaru or even Sasuke might just become the Hokage. Personally, I think Kakashi is a better candidate compared to the two others. If he dies during the war, I guess Shikamaru could become the Hokage. Sasuke being Hokage is a little... Yeah, I dunno.