I think Naruto will become Kage and just like tsunade with shizune as her right hand woman always hanging around her i think Kakashi will hang around with Naruto helping him along the way
I don't think kurama wants to be a hokage. I dont think kurama wants anything to do with humans really kinda like shikamaru. Lots of wisdom, experience, and intelligence, but no drive to do anything about it except sleep all day