Well, of course I reduced those groups to their most vocal parts. But we do have overwhelming evidence that vaccines don't kill you, GMOs don't kill you, nuclear power is safe and environmentally friendly. Mind you, those don't even require detailed scientific research - just a little common sense, back-of-the-napkin math and realizing that if what those anti-XXX groups are saying were true, we'd see half of the western world being autistic, dying from cancer and giving birth to two-headed mutants.
I agree that arrogance of some scientists is a part of the problem (I'd say caused by communication problems - scientists and non-scientists are often so far apart in their understanding of various subjects that it's very hard for those two groups to communicate with each other).
Also, people saying about "limits of research" are often doing this to support their refusal to accept conclusions. If you can't find any rational argument against a thesis, you can always say that the whole process is wrong and then continue to believe whatever you want to believe. "But there's always a chance, right?".