The concept of individualism in political theory goes back to Aristotle and his ethics of individual character, and the Founders bought into Aristotle, and his "student" John Locke, both of whom greatly influenced the concepts in the Declaration and the Constitution.
While Confucius also supported individuals working on their own character (仁, ren), however, societal harmony under a political hierarchy is at the core of Confucian organization. The Three Bonds of Confucianism--emperor over ministers, father over sons, husband over wife--are much more like Plato's Republic: if you are a citizen, you do what you are told, and the government acts in your own best interests. We see this most evidently in Singapore, but it's also behind the attitude towards government in Japan, South Korea, Taiwan, Viet Nam, and is re-emerging in China, as Confucian thinking is restored in place of Maoist thinking.
Moreover, India is the DMZ between Aristotle and Confucius: India(n)s are in general more individualistic than East Asians, but their trust, or desire to trust, in government is greater than that which was taught by Aristotle.
In short, to bring ethnic Asians into the political-conservative arena in the US will require a retraining in political theory, to show that Democrats provide a fake Confucian style government at best, and a pseudo-Maoist government at worst.
As a person of Chinese descent, I think your response comes closest to what I have personally experienced. Among Chinese I know, religion is not as important as education and culture, which are both revered and respected in Confucian societies.
However, several Freepers have hinted to related causes which have validity for the Democrat-leanings of Asians.