So on this 40th anniversary (July 19) of the first ALLEGED moon walk, tuck away this statistic. As a manager, a certain percentage of people who work for you are going to disbelieve or at least hold an alternative viewpoint to what you say, profess or teach.
Your objective isn't to convert them all, but rather to surface all opposing views so that they can be expressed, discussed and either adopted, adapted or discarded. It's healthy for everyone to have their say -- even if their message is that the moon is made of cheese.
Here's an excellent article from HBS Working Knowledge on the power of competing views: Encouraging Dissent in Decision-Making
How do you deal with people who differ with your thinking? Do they always have a platform from which to speak to power?
BTW, the moon landing was faked. Here's proof.