indoubtbigtime: but these most people if they did ever show interest they would soon see it was all lies
I have to disagree. The internet gives us an endless stream of information and discussion on topics like the moon landing, or evolution, or any other subject of controversy or conspiracy-theorizing. Many people seek out this information and can judge whether or not the story or the alternative is more rational or reasonable or believable, etc.
It's been two decades since I read sites about the legitimacy of the moon landings, and I'm sure at least some of those sites are still out there. The information made me think that the landings did happen. Many conspiracy theorists either made false claims or ignored answers to their questions. I find that this is common with conspiracy theorists (I have a couple of friends who are convinced, to varying degrees, of a number of conspiracies).
I've learned not to ask them to look for information, as they usually prefer to "ask questions" but they don't seem terribly interested in having them answered. They steer away from direct interaction with people who know the subject and can expose their ignorance, preferring instead to demand answers from people who simply aren't invested or interested in the topic, because they can point out the apathy as if it is the cause of their skepticism.
I think this is why so many of us express a lack of concern over these issues. It's not that we trust the establishment. It's that we don't trust random strangers with fantastic stories and too little evidence. I don't have to trust one and distrust the other. I can distrust both.