People who run for president of the United States of America and gain election to that office swear an oath to defend the United States Constitution.
At Article IV, Section 2, 2nd paragraph, the United States Constitution declares:
“A person in any State charged with Treason, Felony or any other Crime, who shall flee from Justice, and be found in another State, shall on Demand of the executive Authority of the State from which he fled, be delivered up, to be removed to the jurisdiction of the State having Jurisdiction of the Crime.”
It is therefore not a choice the governor of Florida, any governor of any of the 50 federated states of the United States can refuse should it come to that.
It is not a choice at all. It is the essential federalism in our federal Republic.
No, the governor has no such choice.
It is a federal constitutional requirement.
Peeling the Onion 