Replace the word idiot with 'fool' and see if your point still applies.

In other words, the problem is not stupid people (or people with learning disabilities, which I happen to have btw), who undoubtedly exist. The problem is foolish people who think they can cheat their way through life.

My contention is that we're sinking under the weight of foolish people cheating their way into positions they have no business being in.

Foolish as in lacking wisdom. Not foolish as in lacking ability to do calculus. We have plenty of calculus, we severely lack wisdom :)