> Screening is a more complex decision than, say, taking insulin for diabetes.

Exactly.

> And there are times when public skepticism really does become a public health threat (i.e. anti-vaccination folk).

This is a real problem, and one that is extremely complex because fixing it involves meddling with human rights, I don't think that this is a solvable problem. The bigger issue in cases like those is that 'Gods will' is invoked but it invariably affects others (mostly children) than the people that are making the decisions.

Tricky stuff.