They will immediately promote him to jounin as...
a) He has FAR surpassed the rank of chuunin
b) He doesn't have ALL the qualifications for kage yet
c) He can almost easily beat all/most jounin
d) He has several S rank techniques/capabilities
yeah I guess ...unless naruto follow the same path as J-man and deny being the hokage ...then mayb kakashi and then shikamaru will become hokage ...also neji hyuuga is eligible ..