I'm as anti-handout as they come - but I do admit that sometimes...
I'm generally anti-handout, too, but when I got my former spouse pregnant, we had no health insurance and she was unwilling to terminate the pregnancy (and of course, I'm thankful she did not).
So, she signed up for a state-sponsored program that allowed us to pay very affordable premiums and still receive quality care. The program covered her prenatal stuff, delivery, and follow-ups for a few months. Our child was covered for the first year of her life and then we'd have the option to renew.
It's an awesome program and we never experienced any delays in getting care and the prescription plan operated like most others ($5-10 per). Then, after my business took off, even though we'd split up and could qualify for the program (mother is listed as primary custodian), I removed our daughter from the program. I buy a lot of items in California and also pay a very steep income tax, so I've more than paid back what we borrowed from the system.
I've very thankful that program was in place, but I'm even more thankful that I now have the ability to pay for my child's health coverage.