Growing up in the bay area in CA, I've seen my fair share of people who buy into these types of things. I've hung my head many times in shame and disbelief. But at the end of the day, all we need to do is look at the net results of these beliefs to justify how much we should care.
Homeopathy, by definition, cannot hurt you. Due to the serial dilutions used, the chances are that there are 0 molecules of the original thing in any given dose. The worst thing it can do is cost people money for no result. Some people may turn down medicine and take homeopathics instead, but once again, that's only to the end-user's detriment.
Disbelief in, say, climate change is a different story. If you think climate change is all a big lie, you are likely acting to the detriment of everyone else on the planet. If you believe that the world is a self-correcting machines and our actions have no consequences, you are likely acting to the detriment of everyone else on the planet.
So, while new-age hippie BS is annoying, it's generally quite harmless. Not so for the creation museum and its ilk.