That's simply not how the system works.
The federal sovereign can usurp the state sovereign's courts jurisdiction and use jurisdiction removal[] to try the state charge in federal court. This is exactly what happened when Lon Horiuchi was charged by a state for killing (sniping) an innocent unarmed mother with a baby in her hands, and part of how he got off free.
Given the feds are always keen to do this when possible, it's not for nothing that they do it.
You’re confusing “jurisdictions”. That’s the court’s jurisdiction not the prosecution’s jurisdiction.
Yes, if the State of MN brings a criminal charge against a federal agent, the case will be removed from a State Court to a Federal Court.
But the MN prosecutor will be in the federal court prosecuting the case. The law that will apply to the case will still be MN state law.
It will be a federal judge, and federal court rules about procedure, but MN state law and MN state prosecutors.