> Would the symmetrical statement, that you can only meaningfully believe an expert if you are humble and have done your homework, be true?
Yes and no.
Yes, because as you point out, you need to be able to verify if you are to really trust someone.
No, because the society is largely built on trust anyway, and as long as you can trust other people to verify the claims then you don't need to verify everything yourself.
(That probably explains why so many libertarians have certain anti-scientific beliefs, if you don't have trust in the society at large, there is no way you can verify all the research.)
> I don't generally get the sense that "skeptics" of whatever color are less informed than the orthodox.
I get the sense of that a lot in the global warming debate. If the deniers understood the basics of the theory of global warming, for example, that it predicts (and we observe) stratospheric cooling and polar amplification, they could never claim that it could be the sun.
With vaccines I think it is similar. I don't know much but I would bet there are classical experiments and observations that establish how the immune system works, and these pretty much lead you to the current theory.
Which brings us to a point - if someone argues too much against a scientific theory, but are unable to create a decent competing alternative, it is probably a sign they either haven't done their homework, or they don't understand that scientific theories are supposed to be only the best available explanations, not anything more.