The courts have a responsibility to protect the child, and protecting the child's anonymity from further societal persecution is what's at stake. The courts aren't engaging into conspiratorial activity willed by a liberal agenda.
The father does feel like he's losing control, I agree with you there, but how much control does he legally have, and how much should he have? The mother is just as able to make decisions over matters pertaining to the child's health. There is a disagreement with the father so the courts will look at the medical assessment and proposed treatment, as well as take consideration of the child's desire on how to proceed. Why should the father get agency over the mother and child's decision? Because you disagree with the medical assessment? That's not a good enough reason.
For the father to then take to public platforms and violate his own child's privacy like that, and violating court orders by doing so, he deservingly needs to be reprimanded. I'm sure he went against his own lawyer's recommendations, and it's his fault for doing so.
Breitbart lied to its readers (unsurprisingly) about why the father was arrested. It did not inject any context into the matter. It was written to purposely dupe its readers into an emotional frenzy. It's clickbait.