You should familiarize yourself with Federal Rules of Evidence Rule 901. Requirement of Authentication or Identification, as well as Federal Rules of Civil Procedure Rule 44(2) Proving an Official Record.
Orly didn't even come close to meeting ANY of the requirements spelled out in those two rules - not even close. Foreign records, unlike domestic birth records, are not prima facie evidence of anything. Foundation and authentication must be established by the Movant, not the opposing party or the bench. The Movant must provide compelling and specific authentication before the bench may presume that the evidence (a foreign record in this case) isn't a fake.
So, when you say "Nor did the judge have any reason to believe that her Kenyan BC was a fake.", it says to me that you don't have a clue how things work in the US Court system, let alone do you demonstrate any credible foundation upon which to base an allegation of incompetency with respect to this, or any federal judge. Just saying.
Incidentally, the mistakes that Orly made in this case are mistakes that would get a first year law school student laughed out of any moot court in the country. Which probably shouldn't come a surprise to anyone considering she obtained her law degree from a online law school.