Then there are the Chinese-Americans, and it depends on whether you are dealing with a CBA or an ABC how they usually come down, and that'll differ by where they live.
Filipinos have been drifting to the Republicans for many years but aren't quite all there (See Michelle Malkin ~ she can probably write books about the problem), and then there are the Vietnamese ~ a mixed bag.
I think by now most Asian-Americans have figured out that Obama is doing such a lousy job in such a non-thinking way that it will be a gazillion years before any of them get a shot at the Presidency.
Plus, most of the ones I know are church goers. That alone should keep them in the GOP camp.