“… governors must abide by federal court orders calling for the extradition of an accused criminal.…”
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Nothing related to this MYTHICAL IMPENDING ARREST is in ANY FEDERAL court.
So this is not any more real than the “Russians blew up the Nord Stream pipeline network” bull crap put out by the mainstream media,
You would go to a Federal court to request extradition.
The Extradition Clause in the US Constitution requires states, upon demand of another state, to deliver a fugitive from justice who has committed a "treason, felony or other crime" to the state from which the fugitive has fled. 18 U.S.C. § 3182 sets the process by which an executive of a state, district, or territory of the United States must arrest and turn over a fugitive from another state, district, or territory.
In a 1987 case, Puerto Rico v. Branstad, the court overruled Dennison, and held that the governor of the asylum state has no discretion in performing his or her duty to extradite, whether that duty arises under the Extradition Clause of the Constitution or under the Extradition Act (18 U.S.C. § 3182), and that a federal court may enforce the governor's duty to return the fugitive to the demanding state. There are only four grounds upon which the governor of the asylum state may deny another state's request for extradition:
the extradition documents facially are not in order;
the person has not been charged with a crime in the demanding state;
the person is not the person named in the extradition documents; or
the person is not a fugitive.