If, as Steve notes below, "We’re all originalists now," might we be able to revisit the absurd notion that being born on U.S. soil is a sufficient condition for citizenhip.
As Ed Erler notes, that conclusion is a far cry from the orignial intent of the Fourteenth Amendment.
The Civil Rights Act of 1866 had previously asserted that “All persons born in the United States and not subject to any foreign power, excluding Indians not taxed, are hereby declared to be citizens of the United States.” The immediate impetus for the Fourteenth Amendment was to constitutionalize and validate the Civil Rights Act because some had questioned whether the Thirteenth Amendment was a sufficient basis for its constitutionality. A constitutional amendment would also have the advantage of preventing a later unfriendly Congress from repealing it.
One conspicuous departure from the language of the Civil Rights Act was the elimination of the phrase “Indians not taxed.” Senator Jacob Howard of Ohio, the author of the Citizenship Clause, defended the new language against the charge that it would make Indians citizens of the United States. Howard assured skeptics that “Indians born within the limits of the United States, and who maintain their tribal relations, are not, in the sense of this amendment, born subject to the jurisdiction of the United States.” Senator Lyman Trumbull, Chairman of the Senate Judiciary Committee, supported Howard, contending that “subject to the jurisdiction thereof” meant “not owing allegiance to anybody else . . . subject to the complete jurisdiction of the United States.” Indians, he concluded, were not “subject to the jurisdiction” of the United States because they owed allegiance—even if only partial allegiance—to their tribes. Thus, two requirements were set for United States citizenship: born or naturalized in the United States and subject to its jurisdiction.
By itself, birth within the territorial limits of the United States, as the case of the Indians indicated, did not make one automatically “subject to the jurisdiction” of the United States.