The GOP Hasn't Made Itself Toxic Only Among Latinos -- Just Look at the Asian-American Vote
Asian Americans don't get much attention because they only made up 3 percent of the electorate and have been historically unreliable voters. But it's worth noting that "Hispanics" and Asian Americans were the only groups that went for Obama by larger margins in 2012 than 2008. And while Obama picked up 4 points among Latinos, his margin among Asian Americans increased by 11 points over 2008. Much like Latinos, Bush scored 44% of the Asian American vote in 2004, and Romney got 26 percent in 2012.
The Asian population is obviously not monolithic, and there appears to be differences in political preference according to their country of origin or heritage. I also wouldn't think they'd be as hard to win back as Latinos because they haven't been the targets of the same kind of naked racism by the right, BUT Asians now represent the fastest growing demographic in the country, and they seem to be voting in greater numbers each year.
And, as Pew notes, "On balance, Asian Americans prefer a big government that provides more services (55%) over a smaller government than provides fewer services (36%). In contrast, the general public prefers a smaller government over a bigger government, by 52% to 39%."
As Republican Senator Lindsey Graham said, “We’re not generating enough angry white guys to stay in business for the long term.”