Sorry if this is mixing up the current and history. I was just thinking earlier today about how much we hear about Confucius and Daoism and the like as major influences on Chinese culture, but you don't really hear about that in dialogue about the way the Chinese live today. I was wondering if it made it past the flaming wall of Communism into modern Chinese society, or even had an effect on the way the CCP itself operates?
Confucianism and Daoism and Chinese philosophies are NOT interchangeable, Daoism is an actual religions with gods, deities and stuff. Confucianist values are still heavily ingrained in Chinese and Korean societies (filial piety etc.). Daoism as a religion is really small in China but it's values is mixed with Confucianism and Buddhism to create Chinese culture today.
I'm not as knowledgeable in the workings of the CPC but I know that CPC members today are very Chinese in the sense that they quote old poets and philosophers from past dynasties, even Mao had written calligraphies of Tang dynasty poets (he actually was quite a fan of old poetry at least). In terms of the influence of Confucianism and Daoism on the workings of the Party that really comes down to the individual, I'm certain Confucianist values are ingrained in most Chinese people including the CPC members themselves even if they have never read the works of Confucius, as for Daoism the religion I seem to recall that the CPC is an atheist organization so no CPC member would be religious anyway, but Daoist values are practised nevertheless.