Toyko to Fujisan to Hakone to Kyoto?

On Sunday, July 12, I'd like to travel from Tokyo to climb Fuji-san (Kawaguchiko?), head back down the next morning (Gotemba?), spend the day and evening in Hakone, and then resume travel to Kyoto the next morning on the shinkansen. Is this overly ambitious?

I am concerned that I might be trying to accomplish too much in a short time. Any suggestions?

You won't be able to see much of Hakone, but it seems quite doable.

... said the Jedi-master, but you will probably be burned out from your Mt. Fuji "hike". Went there 5 years ago, considering myself an "out-door-man" and it did kick my a...!! It all depends of course on your personal condition (I AM a smoker, so maybe that's the reason why??? *SMILE*.)