The government is allowed to “coordinate” with anyone it wants. The question is whether the government so coerced the social media companies so as to take away their free will. There’s no proof of anything close to that.
This injunction is a prior restraint on the government’s right to speak freely to its citizens. This is core first amendment, the type of injunction that shows up … well, I’m not sure one’s ever been upheld. In a sane world, the injunction is stayed immediately and reversed in language should make this Judge blush.