Interesting idea - I think that it would either be great fun, or absolutely terrible!
Well, I just arrived in Osaka. I will only have two days in Kyoto so I will pore over the information posted above and try to make a bit of a plan.
Sounds like I'll need to be up and about very early to avoid the worst crowds.
JM, based on your description I might hit one of those temples very early, then mosey around the Higashiyama district. I take it that walking the streets won't be quite as crowded as the official tourist traps.
But now - I'm off to the Osaka branch of Kamakura Shirts!
Cox, I hope that you have a great time. As a "greatest hits" of Kyoto, I'd recommend Kiyomizudera temple and the Higashiyama/Gion area in the eastern part of Kyoto; Kinkakuji and Ryoanji (in the north-west part of Kyoto, within walking distance of each other) and Nijo-jo castle, which is in central Kyoto, about 4km north of Kyoto station (you can get there by taxi, bus or subway).
In Higashiyama, there are some lovely old streets around Pontocho and the surrounding area alongside the Kamogawa River. There's also some old-fashioned, covered shopping arcades nearby near the corner of Shijo and Karasuma streets.
Then, if you have time, head out to Fushimi Inari Taisha to the south, to Sagano/Arashiyama to the west, or to Ginkakuji and the Philosopher's Path (walk from Ginkakuji down to Nanzen-ji and Eikando) to the north-west.