I'd point out that Asian-Americans (and Asians) do not have the contempt for civil service and the public sector that White Americans tend to. They're viewed in Asia as a necessary and valued part of society and to pursue a career as a "bureaucrat" is seen as honorable, or at least not something to be viewed with derision.
White people view post office employees and federal workers as lazy moochers who contribute nothing to society. Asians view them as providing a necessary, not always visible, service to society.
White people view "the private sector" as a vaunted, glorious expression of capitalism and freedom and innovation - starting a business and being an entrepreneur is seen as a wonderful thing. In a lot of Asian societies, being a business owner is considered somewhat mediocre. They associate it with the sort of person who runs a corner grocery shop because he wasn't smart enough to get into a good university and be accepted into the civil service or become a doctor or an engineer. Being a "professional" is the ultimate goal in Asian culture. Being a "businessman" is an almost crass thing.
And the Democratic Party is far more welcoming to the professional and civil servant classes than the Republican Party is.
This is another good explanation, they don't have the same pathological knee-jerk frothing at the mouth reaction to gubmint that Republican WASPs do. They just see it as providing a service and carry on with their lives.
Someone else also mentioned collectivism, the Democratic Party is about consensus-building (especially Obama in 2008 and 2012) and bringing broad groups of people together into a coalition while the Republican Party prefers a mostly stagnant, increasingly small lump of one group of people. So Asians are going to be more receptive to people who are accepting of differences and working together than people who seek to divide and conquer based on those differences.