It is, however, the government's job to look after its citizens as a whole, and act with their best intentions. While there's always a debate to be had about whether government ACTUALLY acts for the greater good of its citizens, one area that it certainly does is mandating the vaccination of children.
These vaccines that all kids (at least in the US) are required to receive prevent some horrifying diseases. Horrifying. Like, tens of thousands of people a year would die from them (such as the Measles virus). When a viable vaccine became available for Measles, for example, people lined up around the block so they could receive it. They recognized that being vaccinated was the best thing to do, so they did it.
I absolutely hate the argument that people make about "not allowing the government to dictate how they raise their children". They're not. They're not telling you how to structure your day with your child, what books they need to read, what toys they're allowed to play with, etc. They're saying, "We don't want your child to die from these diseases, so we're going to have them vaccinated. You're welcome." Again, the government's job is to look after the well-being of ALL citizens, and preventing their widespread death falls under that jurisdiction.
As an aside, I'm not attacking you specifically. I'm attacking that argument, because it's absolutely stupid.