Well, American-styled Christian Democracy would need to be quite altered from the Euro/Latin American form. It's interesting that in a country where religion is so tied with politics, people would still be strongly adherent to the First Amendment that a political party could be sunk if they so much as put the term "Christian" in its name.
Are there any other forms of communitarian ideologies out there besides CD? Don't most East Asian nations have a form of government structure that has mixed economies with heavy government presence, and social policies that are somewhat conservative due to the Confucian ethos?
Asia is exactly like that because of Confucianism. The stable nations accept one-party rule. Look at Japan and Singapore. They are basically both one-party states, and Singapore is a perfect example of Confucianism and the communitarian ideology being immensely popular. In fact, Singapore is one of the happiest nations in the world despite some of the strictest laws of a Western state (gum chewing ban was just lifted, they still cane people for crimes). Asians love to be "controlled" I guess. Only Taiwan and South Korea, both rather volatile, have democracies with changing parties. China also is basically stable among Han Chinese, just ethnic minorities are protesting.