Frankly, you shouldn't even be entitled to bring them out in public as long as they're a threat to other children or anyone else who couldn't get vaccinated for some other reason outside of their control. Willful ignorance should come this a heavy cost.
This is, frankly, every bit as stupid a thought process as not getting your kids vaccinated because some guy somewhere said maybe it might be harmful (in the face of decades of blatantly obvious evidence that it saves tremendous numbers of people). Why? Because YOU AREN'T A THREAT SIMPLY BY THE NATURE OF YOUR EXISTENCE ALONE. Vaccines are great tools of modern medicine that are saving huge numbers of people from diseases. But the diseases ALL COME FROM NATURE. They're PART OF THE NATURAL FUCKING WORLD and THAT is where the "threat" is coming from! If you don't want to live under that threat, remove yourself from the natural world.
I think people who don't get themselves or their kids vaccinated against preventable, dangerous diseases are idiots because there's nearly no downside to doing that. However, they aren't increasing any threat toward anyone. They're simply not acting to DECREASE the threat which is being posed by the natural world. There's a huge difference. Now, are the odds increased that an individual who cannot receive a vaccination will contracted a the disease inoculated against by that vaccine if those in regular contact with them are unvaccinated? Yes. But if 0% of the people around them get the vaccine, their level of threat is EQUAL to the level of threat in the NATURAL WORLD. As the people around them get vaccinated, the level of threat drops.
To be as crystal clear as possible, here's the difference between increasing the level of threat and not acting to decrease it:
If I purposely inject myself with active Influenza, get sick, and then walk through an airport coughing on people, I am increasing the level of Influenza threat
If I inject you with active Influenza, I'm increasing the level of Influenza threat
If I simply don't get a Flu vaccine, I'm not increasing anything; the threat was already there. I'm simply not acting to decrease that threat to myself or others.
Why do I care about the difference? Because it's horseshit to accuse these idiots of being a threat. The fact that they're acting like morons is no excuse for everyone else doing the same.