On the other side of the coin, investors could take a simple multi-choice test on ROI, accounting and finance principles .. whatever.
I'd have to brainstorm further. If an arm has a problem, you don't cut it off, you fix it and make sure it doesn't happen again with creative solutions - because you're not solving any problem by amputating (or rather not applying that solution correctly if there are healthier alternatives), you're just creating more problems.
-- another solution may be to simply cap investments at a certain amount, so people can't invest their life-savings in one go.
-- also, a way to search on these micro investments (and micro investors too) would be great: http://www.google.com/finance/stockscreener http://www.formds.com/filings (hat tip gojomo)
I like the gist of your point, but this line scares me a lot. Too much opportunity for political favors or political blackballing.