Kakashi as Hokage at least made some sense. Kakashi has a lot of combat experience and he's no slouch in intelligence, either. Granted he's no Shikamaru, but there are worse characters to have as Hokage than Kakashi in my opinion. He has the combat experience and techniques that make him someone you don't want to take lightly and is arguably one of the most elite ninja in the entire village. From his experience he'll have also gained plenty of knowledge on numerous topics, and let's not forget he was trained by the 4th Hokage and Jaraya. And to top it all off, he's cool and collected. You're not going to get underneath his skin very easily unlike Naruto.
While maybe not ideal for the job in the long run, Kakashi would be a safe bet for a temporary seat holder for the position until someone more suited for the task could be found.