You appeal from the courts to the court of public opinion.
Yes because everyone has the resources or wherewithal to make that happen.
Perhaps that's exactly what this fellow did, he utilized the skills he head to elevate the situation to greater awareness so that public opinion might bear.
You kidnap the child from the hospital, and let the hospital re-open the court battle.
I'm not sure if you forgot your sarcasm tag. Either way, kidnapping is usually a far less desirable action than hacking whatever the cause.