This is an interesting point.
We have a congressional directive for her case to be heard throughout the federal court system that could stretch from district court all the way to supreme court.
On the other hand, the president's attorney general and justice department are charged with enforcing the laws of the land.
I'm thinking that if any judge drags his feet to the point there is concern that Terri might not survive the entire process which has been granted to her by the law that congress passed, that the Justice Department can take her into protective custody to ensure she survives throughout this entire time.
They would simply be ensuring the congressional law can be fully fulfilled.
You are an old friend whom I greatly respect, but you can forget this one. Without an order of a court, such an action would be illegal. The Justice Department (the U.S. government) is not a party to the action. Only the same private parties as in Florida. All that has been (assertedly) done by the new law is grant federal court jurisdiction to the parties to the FL action.
Apparently, by the way, the parents had already filed some sort of action in this US District Court before the new law took effect. They are locked into that District Court now. Once the District Court rules, they can appeal if they are not satisfied. Nothing more.