[eschaton]

It's important to keep in mind that the politics of immigrant groups in their home countries have little to do with the politics they end up with in their new countries.

For example, most Indian immigrants to the U.S. are high-caste Hindus who would likely be BJP supporters at home (or at least modestly nationalist) and they are moderate to liberal Democrats in the U.S. Or, if they move to Canada or the UK, they might become Tories. You can't really determine it because the "sorting" has more to do with the politics of the country in question than the politics of the home nation.

Within the U.S., there were the following dynamics, IIRC:

Muslims: Were somewhat GOP-leaning prior to September 11th, due to social conservatism. Basically every single Muslim immigrant group is now heavily Democratic leaning.

Latinos: Most Latino immigrants have traditionally leaned Democratic pretty heavily, except for of course Cubans, who were heavily GOP. However, second/third generation Cubans are way less conservative than their parents. Being a protestant Latino (most are Pentecostal) makes you considerably more likely to be GOP-leaning than a Catholic Latino.

Asian immigrants: Prior to around 1990 or so Asian-Americans leaned GOP, now they are pretty heavily Democratic. Traditionally the most GOP-leaning groups have been Vietnamese, Filipinos, and Koreans. What these groups have in common is anti-Communism (except for Filipinos) along with high levels of Christianity (a disproportionate number of Vietnamese-Americans are Catholic, as are most Filipinos, and most Korean-Americans are evangelical Protestants). Chinese Americans, Japanese Americans, and Indian-Americans are much more heavily Democratic.