No... If that were true, then we'd be able to write our own prescriptions...but we can't, because we as non-doctors aren't held to the same standard.
So it's the government's job to shut down people's opinions that they don't think are true? That's a bit of an overreach is it not?
Not to mention, science is constantly changing and discovering that the things in medicine that were thought to be true aren't and vice versa.
Obviously in this case, the lady was wrong...but I'll provide another example.
Take a moment and google the topic of ulcers.
Up until the 1980's, the medical community was in complete agreement that stress caused ulcers, and treated them accordingly with tranquillizers & anti-depressants...when two scientists from Australia suggested that it was actually a bacteria that caused it...their theory was viewed a quackery. Except there one major difference in this case...they were right (they won a Nobel prize a couple years ago for it). Their views were shunned by the medical community and made to look looney...if the government had "shut their idea down" as you suggest (simply on the grounds that it contradicts popular medical belief), we'd still be pumping ulcer patients full of tranquilizers instead of treating it properly.
That's the issue with wanting the government to shut down counter-culture ideas...for every 9 looneys you shut down, you'll also shut down one that's actually right.