Who decided that this transportation has taken place? Who put at stake that the world of the PCs would change from Faerun to the US?
I mean, this is no different from the City of Brass example, about which I asked exactly the same questions.
Assuming that the players have exercised their agency in brining about this reframing of things, then why would they seek to find a noble in a realm which has, as one of its founding principles, that "No Title of Nobility shall be granted by the United States"?