No. Here is the Code referred to above:
§3184. Fugitives from foreign country to United States
Whenever there is a treaty or convention for extradition between the United States and any foreign government, or in cases arising under section 3181(b), any justice or judge of the United States, or any magistrate judge authorized so to do by a court of the United States, or any judge of a court of record of general jurisdiction of any State, may, upon complaint made under oath, charging any person found within his jurisdiction, with having committed within the jurisdiction of any such foreign government any of the crimes provided for by such treaty or convention, or provided for under section 3181(b), issue his warrant for the apprehension of the person so charged, that he may be brought before such justice, judge, or magistrate judge, to the end that the evidence of criminality may be heard and considered.
Notwithstanding the parenthetical remark concerning federal law, to me it is clear that any judge of a court of record may issue the warrant and bring the person before that same judge.
In common law jurisdictions, a court of record is a trial court in which a court clerk or a court reporter takes down a record of proceedings
How do you interpret "court of record" as written in the law? Since the federal judges and authorized magistrates are specifically named in the law, what could a judge of a court of record be except a non federal judge?