Ideally, governments and other decision makers should consider public opinion and let it guide them in designing policies that benefit the general public. Problematically, sometimes the opinion of the public simply cannot be heard. Sometimes this happens when a very loud minority drowns out the voices of the silent majority. In such cases, the opinion climate in a society may seem to be more radical than it actually is.
Nixon famously used the term "silent majority" when he appealed for support to what he perceived as the majority of American voters who did not publicly oppose the Vietnam War. He saw this group outclamored by a small but noisy minority that did protest. This was actually a clever strategic argument on Nixon's part. Noelle Neumann's Spiral of Silence, which we have introduced here on this blog, posits that most people would follow the majority because they don't want to be isolated in society. If one opinion is heard more and more often, it may be perceived as majority opinion, even though it isn't. And then, if it's become almost ubiquitous, it might be perceived as majority opinion and people may change their own opinions to fit this "opinion climate." This way, over time and with a lot of help from the media, a minority opinion, for instance an extreme political opinion, may actually become the opinion of the majority.