I sympathise with the idea - but I think the problem is, a lot of the time opinions are a predicament, not a choice. Without consciously taking a position on a topic, you're often implicitly accepting various components of it - its logical dependencies, its framing of the problem, and so on.

My gut feeling is that people don't all have opinions ('everyone's a critic') because of widespread foolishness, but rather it's a basic characteristic and consequence of thought - just like you have to make assumptions to make a proof.