Most people believe there is some overlap. I think conservatives believe there isn't enough, at least at the moment - which is why they don't trust as much as they used to.
This split is one possible explanation for Gauchat’s finding that the decline in confidence in “the scientific community” has been greater among more educated conservatives — those who may be more aware of actions by leading scientists and scientific institutions that have squandered some of science’s credibility as many scientists have embraced political advocacy and sought to claim that science supports specific policy agendas. It’s also possible that some conservatives have become alienated from the scientific community insofar as they have perceived science to support “liberal” causes (e.g. environmental activism, government regulation) as opposed to “conservative” causes (e.g. military technology, industrial progress, etc.), as well as by the outward hostility toward religion voiced by many prominent scientists.