I've worked in a physics lab (fusion). I've worked in a geophysics lab. Here's the thing about experimental Earth science: you're not working with a idealized, simplified object under controlled laboratory conditions. You are working with something that is immense and messy and which inherently generates a lot of contradictory data. It doesn't make the big picture impossible to put together, it just means it takes a lot of hard to obtain data to shift the consensus one way or the other. It took forty years for anthropogenic global warming to become the scientific consensus; the first papers were published in the fifties and the idea that the world was warming was hotly contested for at least three decades
Contradictory data is something fundamental to empirical science. Empirical science generalizes from contradictory evidence.
When I was in college, "conservative" meant someone who was cautiously pragmatic. Now it refers to someone who adheres to certain conservative axioms -- a radical in other words (radical == "root"). Radicals by their nature prefer deduction from known truths to induction from messy evidence. This is evident in your citing mathematics as the gold standard, despite the utter inapplicability of its methods to geoscience. Mathematics doesn't deal in messy, mutually contradicting truths. Nor does political orthodoxy of any stripe.
That's why "conservatives" latch on to local phenomena -- like the snow outside their door -- that seem to confirm their preconception that the globe is not currently warming. In mathematics the number 9 disproves the assertion that all odd counting numbers are prime. In climate science the medieval warming period in Europe doesn't disprove that the globe as a whole was cooler at that time. To radicals the existence of contradictions in the supporting data is corrupt. To scientists the lack of contradictions in data is fishy.
Left-wing radicals are equally confused by apparently contradictory data points, and likewise seize on the ones that "prove" their universal truths (e.g. that vaccines cause autism).