Well, there are a number of times I've seen posts on this forum by people who say something like "I've seen the evidence for 'such-and-such-a-phenomena' and I agree that it's completely convincing. But I still can't accept it".
That isn't so much an ultra-sceptic view, it's from people who are reasonably open-minded. But there's some sort of anchor which people find themselves chained to, which means they can't break free and simply "follow the data".
My opinion. There are only two principle ways that people change their views on anything, whether it is politics, religion, science, pretty much anything. First, if they happen to be reachable at a particular point, usually quite early in life, when they are freely able to consider all ideas, toss them around, try them out, and quite freely forms a new view or outlook. I call that the "window". The second is more drastic. It takes some sort of life-changing event, such as being afflicted by some illness, or some great upheaval in personal circumstances, something which is earth-shattering, this creates another kind of window. Outside of these windows, most people cling to their anchors.