Some sort of stay on Greer's authority needs to be made, in the name of investigating corruption there, then his injunction preventing Terri's rescue can be temporarily set aside.
Is there no mechanism to stop a runaway court in this land?
"Is there no mechanism to stop a runaway court in this land?"
Yes, there is. It's called the appeals process, and that has run its course. Judges are overturned all the time. In this case, Greer was not overturned.
What there is not is a way for the Executive to simply override a judicial decision. There simply is not. If there were, we would have a different system of government than we have. Our Constitution would no longer apply.
Many people disagree with the judgments in this case. Many agree with them. The fact is that the appeals process is finished with the SCOTUS refusing to hear the case.
The mechanism you asked about has run its course.
The Declaration of Independence permits the people to overthrow the government when it becomes oppressive and unresponsive.