You do know that a lot(most) of people that are into the natural food movement don't believe in homeopathy, right? In any case it's the wrong question. The government doesn't have the authority to dictate what people consume. If I want to smoke mercury vapor from an inhaler, it's my right to do so. The health benefits/detriments either way are of no concern to anyone but the people involved.
What I was getting at is that a lot of the material available online is either by Monsanto-type organizations, or else by die-hard groups that are deep into the hippie end of the spectrum - long-wave radio spectrum,
really out there. Hardcore vegan, crying at trees dying, that sort of person.

They're the ones who also feel the need to be exceptionally vocal about this kind of thing. So it's tough to figure out what information may be regarded as being at all valid, versus something put out there by someone pushing an agenda.
Concerning that kind of choice, I'm kind of divided. It's into the same realm as motorcycle helmet laws. It's personal freedom at the detriment of society. Giving people the freedom to kill themselves by making (subjectively) stupid choices is a drain on everyone else, from an economic standpoint. A lot of resources are invested into raising a newborn into a reasonably productive adult, and the longer that person lives, the more return society gets. Cut that life short by some poor decision, and that does not live up to its potential.
Some of the freedom of these choices also depends on people making properly-informed decisions. If all you hear is "vaccines cause autism omg noo!~`1`!1!!!", you might end up making a stupid decision, and contract an easily-prevented illness. Then you will lose productivity at a job by staying home sick, or be a bigger hit on society by nipping off and dying. Yes, you were given freedom of choice, and you made what you thought was a good choice, but it was based on bad information distributed by morons. In a society with an ever-increasing amount of information available, there's no way an individual can round up the necessary data to be
fully informed about every possible decision.
That's where a regulatory agency could come into play, to help ensure that you won't make a stupid decision based on incorrect information, by helping to keep that incorrect information off the streets in the first place. (There are of course the loopholes. Enzyte, anyone?) But if the people who have the agenda to push are the ones policing the information, this system is effectively invalidated.
Freedom of choice...fun philosophical issues.
Sorry, don't have exact stats in front of me, going from memory. Here's one take on it, though
http://healthimpactnews.com/2011/cdc-admits-no-one-has-died-from-drinking-raw-milk-in-last-11-years/
There is a very clear (to me) bias happening here. And as someone in the industry, I can tell you it is extremely political, and extremely driven by lobbyists and corporation to eliminate any real or perceived threats. If a small producer gets shut down for taking a stand, and the government goes to a farmer and to the farmer's kids in bulletproof vests, with guns drawn... well, do you think others would be dissuaded from speaking out? Would you be?
...
Monsanto came to mind again, with their whole issue about milk manufacturers labeling products as coming from cows that weren't given the rBST growth hormone. They of course sell this hormone, so they didn't want anyone talking like it might not be a good thing, so they pushed to make it illegal to put that sort of thing on milk labels - effectively a very direct effort to prevent informed decision-making. And of course, money=power.