Sorry about that with the whole lee vs neji comment, honestly I was actually reading other vs threads with lee vs Neji so when I saw your remark based on Gai being stronger than kakashi I automatically think that u also imply that neji is stronger than lee. Anyways I know my comment is based on my opinions as well

but I believe its has some form of foundation based on how each character is portrayed in the manga.
Remember both Naruto and Kakashi was elected to be hokage for there village by other than Tsuande herself, Naruto in the other hand was training with killer Bee and seeing that he was not in the village at that point in time kakashi was the other candidate for the job. Kakashi shows good leadership and is well rounded in terms of knowledge and expertise which makes him a bit superior over Gai. Gai is fast and his gates give him an edge when it comes to speed and attack but remember Kakashi also has Kamui which can be able to counter the gates by teleporting his own body into another dimension.
Besides kakashi sharigan he is just as smart as shikamaru stated in the manga and anime so being brilliant in terms of execution of skills and the amount of information he has acquired from Gai's abilities over the years as being his rival, puts kakashi in a more higher and successful position than Gai.