The problem is... one half-truth plus one more half-truth do not add up to one full truth.

Ignorant people take a selection of information, (chosen according to various fears & prejudices,) season it with slogans & guesses, stir in various bits of hyperbolé, boil it with the lid on without testing it for flavor, and serve it up way too hot as "Truth Soup". Then they tell everyone how bad it tastes.