Are there ways in which such gaps between scientific knowledge and public acceptance can be bridged?
There is much evidence that the framing of information facilitates its acceptance when it no longer threatens people's worldview. HI individuals are more likely to accept climate science when the proposed solution involves nuclear power than when it involves emission cuts.
Similarly, the messenger matters. HPV vaccination is more likely to be found acceptable by HI individuals if arguments in its favour are presented by someone clearly identified as hierarchical-individualistic.