It is accepted by all except the most ardent science hating quacks that vaccinations work and play a vital role in preventing various diseases. A recent story about a bunch of people who caught measles in disneyland shows the danger of not getting vaccinated, as the vast majority of those that caught it were unvaccinated.
Most people also agree it is a persons right to make their own health choices and you should not force an individual to take certain treatments against their will. That is all well and good when you are dealing with your own health. However when the issue is one that affects the health of others, the dynamic changes. Part of how vaccines work is by creating a herd immunity, so those who don't have the correct response to the vaccinations or simply can't/won't take them have a much less chance of encountering the disease and thus are protected too. Many people now compared to the past are choosing not to get vaccinated. This isn't putting just themselves at risk, they are also putting others at risk by breaking the herd immunity.
Bearing in mind their action or rather inaction is making it more likely that harm can come to others, should vaccines be mandatory or at least linked with certain incentives, eg certain benefits are cut off if vaccination is denied.