Have a higher evidentiary threshold when it comes to results that contradict common-sense, or that suggest changing your current behaviour? Of course sometimes counterintuitive results turn out to be real, but most the time the "follow the science" people are getting prematurely excited.
Having lived a few years and witnessed "the science" change a number of times, I'd say that in my social circles (which are by no means representative of everyone) disproportionate trust in supposed scientific conclusions (particularly those that go against common sense) is a bigger problem than the reverse. E.g. official diet advice over the last few decades, or relative damage done by diesel vs petrol cars.
