The problem with that study is that it focuses on the HPV vaccine, where the conservative based objections revolve around the believe that giving the vaccine is akin to tacit approval of teenage sex (not dissimilar to the conservative objection to safe sex campaigns).
It is not an anti-science view, in that they believe that the vaccine does, in fact, prevent HPV transmission, and they do not believe in totally debunked theories such as the MMR/autism link. It does not appear that the survey attempted to break out the resistance to, say the MMR vaccine, which is clearly based on junk/psuedo science stoked by the Lancet article, versus Guardacil, where the resistance is based on moral objections.
I think one of the biggest problems that our modern democracies face is the confusion between science and morality. These are orthogonal bases but more and more they are being conflated into a single dimension where pro-science == moral and anti-science == immoral. There are lots of people who are anti-evolution, anti-climate change, yet perfectly good and decent people, and there are lots of people who are big supporters of all fields of scientific endeavors who are complete a$$holes. And they both have things to say, and in a democracy, get to have a voice in our joint decisionmaking process called politics. To paraphrase Churchill, it sucks but it's better than the alternative.