I come down on the side of personal liberty, because it is important to preserve. There is little more horrifying to me than to see that so many Americans are willing to allow the government to silence misinformation, very little. The same government that can deny you healthcare because you refuse a vaccine can and will use that same power in other areas of life to force you to comply. It is that important. That being said, I've argued with anti-vaxxers because they aren't arguing science, they're arguing beliefs. They claim, for example, that polio wasn't wiped out because of vaccines, it was just re-diagnosed into other diseases, and they refuse to acknowledge the thousands of deaths caused by measles and mumps before vaccines.
In this case, we have no idea how the vaccines will work in the long term, nor do we know what kind of side effects might pop up years down the road. That leaves a lot of room for people to prefer taking their chances on a disease that still has a very low mortality rate. It's not like TB that is highly contagious and very deadly.