When naruto defeated pain he reached kage level and when he controlled kurama he surly became kage even stronger than many kage (as a example gara) so nothing to mention when he reached jounin level
Naruto is inarguably strong enough to be a Kage, the only thing that he lacks to be one is fighting experience and overall knowledge of leadership. You're either trolling terribly or you're retarded if you don't think he's fit to be a Jounin.
He might be Kage level, but is still officially a Genin. The manga is in its last two arcs so I don't think Naruto will be a Jounin anytime soon. He would need to do the Chuunin Exams and then be promoted to Special Jounin then promoted to Jounin.
Or
He becomes Hokage straight away.