Anti-vaxers are a good example of this. They’ve read that vaccines are dangerous, which is actually a fact, so they chose to not vaccinate their children. But they are ignoring another vaccination fact in the process. The fact that not-vaccinating children is more dangerous than vaccinating them. As a result we now live in a world where westerners are once again dying from the measles even though they really shouldn’t be.
Politicians are especially great at misusing facts to build their agendas. Possibly because they’d be too agreeing if they weren’t and they simply don’t know how to work together across party lines.
I once saw a climate change meme, asking if you’d cross a bridge which 99.9% of the worlds leading engineers said was unsafe. Every day we see more and more people cross that damn bridge. :p
I also agree with you though. Because things are this way, it would often be more reasonable to talk about “strong beliefs” rather than “facts”, exactly because people are chosing to ignore the facts.