But how to persuade the general public that science and statistics matter when even HN is skeptical? You're right, I don't know how to do that.
Of course these kind of issues can often be ignored with sufficient political support. Which is exactly what wind and solar have done in Europe.
Try using science to prove that a wind turbine isn't ugly. Or that it is worth killing some bird of prey to get clean energy. Try using science to explain why a coal miner should lose their livelihood. Or why you should stop eating so much red meat. It does not work.
At the heart of this debate is not scepticism of science, but scepticism of scientists and engineers. Scepticism that they really are as good as they say they are.