"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.
Pardon me?
First, I don't want the decision summarily overturned I want it reviewed. That brings us to the appeals process you say has run its course. Not one higher court has actually reviewed this case. Every one has refused to review based on the merits. That means the merits of the appeal as written not the merits of the Schindler/Schiavo case.
There is deep corruption here and many of us know it. If the appeals have been poorly made then that is very sad indeed but I suspect, as do many of us, that the appeals were wrongly rejected even if it is nothing more than cronyism. I think it's a united front put up by the judiciary.
I can't include the U.S. SC because they don't hear appeals when every other court has rejected them. I hope their rejection was mandatory though not just "proper." If they had any legal standing to hear it they should have considered the gravity of the situation.
If it were possible for the Executive to simply override a judicial decision, then we would have a government similar to Sadam Hussein's Iraq.