So here we have a partial answer to why experts aren’t trusted. They aren’t trusted by people who feel alienated from them. My reading of this study would be that it isn’t that we live in a ‘post-fact’ political climate. Rather it is that attempts to take facts out of their social context won’t work. For me and my friends it seems incomprehensible to ignore the facts, whether about the science of vaccination, or the law and economics of leaving the EU. But me and my friends do very well from the status quo - the Treasury, the Bar, the University work well for us. We know who these people are, we know how they work, and we trust them because we feel they are working for us, in some wider sense. People who voted Leave do suffer from a lack of trust, and my best guess is that this is a reflection of a belief that most authorities aren’t on their side, not because they necessarily reject their status as experts.
via http://www.tomstafford.staff.shef.ac.uk/?p=447