As I think someone already mentioned, the Schrodinger Equation question tells more about whether we're good at differential equations than whether we're familiar with the ontology of quantum mechanics enough that we're qualified to judge the plausibility of Many Worlds or other interpretations. Assuming the latter is the point of the question, “... to prove Bell's Theorem” would probably be a much better test (though still not an excellent one).
If someone can't do the problem sets for an undergraduate physics class, then I don't think they should consider themselves qualified to pass judgement on the field.
I have finally gotten the survey to a point where I'm pretty happy with it. I have no big changes I want to make this year. But as is the tradition, please take a week to discuss what minor changes you want to the survey (within the limits of what Google Docs and finite time can do) and I will try to comply. In particular, we can continue the tradition that any question you request can be added to the Extra Credit section unless it's illegal or horribly offensive.
You can find last year's survey results here and you can find the very preliminary version of this year's survey (so far exactly the same as last year's) here.
EDIT: I don't particularly like the IQ test or the Big Five test used last year. If you have any better replacements for either, tell me and I'll put them in.
EDIT2: CFAR, you added seven questions last year. Let me know what you want to do with those this year. Keep them? Remove them? Replace them?