Likewise I want them to get licenses if they can pass the driving laws test, and should be able to get insurance. I don't want to be hit (or hit and run) by an uninsured driver.
They and their kids should be getting the same vaccines someone with a legal right to live here does, under the same terms. This is basic public health that helps everybody.
This is 100% orthogonal to whether ICE should be pursuing and deporting this or that person. They current system makes the rest of us less safe -- and that's not even getting into the massive impingement on the human rights of law abiding folks due to the misincented immigration (and other) laws and their enforcement).