A majority of scientists hold the opinions that children should be vaccinated and that climate change is caused mostly by human activities such as burning fossil fuels. There are groups opposing both of those viewpoints; I am interested in whether these indicate a general distrust of 'establishment' scientific views or reflect e.g. confirmation bias of more general beliefs.
How correlated are 'anti-vaxxer' and 'climate change denial' views? Specifically, what proportion of anti-vaxxers also deny climate change, and vice versa? If significantly more or less overlap exists than you would expect by chance, is there any evidence to suggest what other factors might affect an individual's positions on each? Bonus if you can also relate either or both of these to beliefs/opinions on GM food.
I am particularly interested in data from the US, but examples from other regions are also very welcome.
This question is somewhat similar to this one (in fact, this similarity is why I assumed this was the correct SE to ask this question on) but not identical - the previous question asks about correlation between anti-vaxxer views and political affiliation, as do other sources I have been able to find online (like this). The figure in the accepted answer to this previous question shows that opposition to vaccination is less common than denial of anthropogenic climate change, but doesn't show how the two correlate.
(Please note I am not asking for evidence for or against either of these scientific issues; I'm aware there are other SEs for that sort of thing.)