The thing is, they don't know their being lied to. I think the big issue with many conservatives is that they are conditioned, basically from birth, to believe fantastical things as truth, without evidence. I.e. Bible stories as fact. Yes, Gabriel was swallowed by a whale. Of course Noah had all of the animals in the world on his boat. They learn to accept things at face value as long as it sounds good to them. This requires no critical thinking.
This is how you get otherwise intelligent people who believe right wing myths like high school kids identifying as cats and requiring litter boxes. They will believe anything as long as it confirms their biases. Belief = truth. I believe it, therefore it is true. It's this simple to them. You can present all the evidence in the world to counter any one of their ridiculous conspiracy theories, but they will never change. Because, to them, belief = truth.