Actually, "Zen" is the Japanese version/outgrowth of Chan 禪, which started in China. I was using Zen as a shorthand for Chan, because people usually have no idea what I'm talking about when I mention it. Sorry if you already knew that.

Shaolin Temple 少林寺 is a Buddhist temple, and I think also of the Chan lineage. It's most definitely not Daoist. There's a lot of Daoism in Zen (and Chan), though, so it wouldn't be surprising if there were some legitimate crossovers.

I have an MA in the History of Asian Religions, specializing in Neo-Confucianism, but my real passion was always Zhuangzi. Wanna talk about him/the book? :)