This doesn't quite follow... The objection I thought of is that if you have a populace where most members believe they know a subject well enough, perhaps because they "went over the fundamentals for a couple weeks in a college course", actual experts are less able to influence policy in an actually effective way since "everyone is an expert" and there will be disagreements; people won't see their ignorance as mountainous but merely as "a weekend of study would catch me up". There are plenty of good arguments for a broadly-but-shallowly educated populace, but I don't think this is really one of them.
The idea behind a liberal education isn't to get students to believe that they can understand a topic because they "went over the fundamentals for a few weeks in college". It's to get them to be able to rationally discuss the topic with someone who is an expert.
My wife tells a story about a business class she took in undergrad. It was about markets and investing for non-business majors. The professor started out very clearly by explaining that the class was not going to make them financial geniuses - that it would not make them all millionaires. But, that it would help them make better decision so they could understand what the recommendations of their financial planners.
In undergrad, I took a course on the "international political economy" (on of my favorites too - Thanks Dr. Katz). Now, I don't think that means I'd be equipped to negotiate a treaty, but it does help me follow international events with a bit more context.
Do you think we should get rid of Wikipedia, so people don't spend a few hours reading about topics, lest they start to think they are experts?
I guess it depends whether the oft-cited Dunning Kruger is linear. i.e. does a little knowledge of a subject allow you to understand how incomplete your knowledge is?
Sure, nothing is ever perfect. But think about the alternative. How do uneducated people know which "experts" to trust? The term "snake oil salesman" came from somewhere...
Learning a little about your car can help keep you from getting ripped off by a crooked mechanic. So why wouldn't learning a little about the world help keep you from getting ripped off by political leaders and other public figures?