We all become 'the public' in some context.
Were the witch trials really a problem of the public? The church and judicial authorities monopolized the knowledge of the Bible and used it as a tool to maintain ruling order. Couldn't there be a perspective that sees it the other way around, that the elites used the public as a tool instead? When you study medieval European history, education was handled by the church. The authority to identify 'witches' ultimately rested with the church, and that actually makes me think that the public was the educated one.
Regarding the Scopes Trial, frankly, I don't know much about it. So I can't offer a lengthy rebuttal. I can't casually criticize something I don't know about.
But I think your comment shows how the problem of stratification that we're thinking about actually applies