Asians have always respected higher education and intellectualism. The Republican Christian fundamentalism and anti intellectualism has certainly turned off a lot of temperamentally conservative Asians, who would be open to 'pro business', and lower tax policies.
In fairness, Democrats have shown a strong anti-intellectual streak as of late too, implying that science hasn't proven that life begins at conception when it clearly has, silencing facts (even obvious ones) that are politically incorrect, and banning conservative speakers from university campuses.
The difference is that the anti-science morons are in power in the GOP, like James Inhofe and his embarrassing crusade against climate change. Democratic leaders like Elizabeth Warren condemn suppression of free speech.
Democrats have plenty of anti-science morons too, who deny that life begins at conception and insist that vaccines cause autism.
The current leader of the Republican Party is the most prominent antivaxxer in America. Don't know how you see that as a Democrat thing.
Most antivaxxers are hippie types from the West Coast who think that "natural" and holistic medicine are better than traditional medicine (because doctors are out to kill you, for some strange reason.) These are the same people who use essential oils and Eastern medicine, and they are overwhelmingly left-wing. Trump actually shares a lot in common with the far left--more than they'd like to admit, which is why he is not a true conservative.
Got a source for that? Sounds more like a personal stereotype than a fact. In my mind the 'average' antivaxxer is the Southern evangelical Christian paranoid about government fluids.
Anyway, according to Pew, in 2014 65% of Republicans believe vaccinations should be mandatory in public schools (down from 2009), while 76% of Democrats believe so. While not the same metric we're looking for it certainly suggests a lot more skepticism on the right than the left about vaccination.
http://www.pewresearch.org/fact-tank/2015/02/02/young-adults-more-likely-to-say-vaccinating-kids-should-be-a-parental-choice/Regardless, on both sides it's a fringe, but only one major party has embraced it in their highest leadership. You can smear Trump as 'not a true conservative' however you want, but the party nominated him, supported his campaign, voted in his nominees, and gives him political cover for his antics. They own him.