Mt Fuji stop on way to Kyoto

A Mt. Fuji/Hakone stop will be an early morning decision based on weather in mid-June. If it looks good, here is what I am considering. Please let me know if these routes are feasible, worth it, a waste of time, too much time sitting on trains/buses or we should just enjoy the view from Shinjuku to Kyoto without stopping. Would like to get to Kyoto at a reasonable hour, preferably before dark.

Shinjuku to Kawaguchiko

-Arakurayama Sengen Park and Kachi Kachi Ropeway

Kawaguchiko to Mishima Station via Fujikyu bus to Kyoto

Shinjuku to Shin-Fuji

-Lake Tanuki and Shiraito Falls

Shin-Fuji to Kyoto

Shinjuku to Odawara

-Mt. Komagatake Ropeway and Lake Ashi

Mishima Station to Kyoto