You're under the assumption that the job of the radio guys is to be accurate or put some sort of effort towards being reasonable. It's not.
Their job is to attract listeners which means they will say whatever gets people listening. They will lie, make stuff up, pander to the audience, takes thing way out of context, etc. because it gets the "loons" who believe it and then it gets the people who are aghast that they would say these things.