There is nothing written into the Constitution, nor the 14th Amendment, which places into law that which Vattel espoused in his writtings. There is no case law which validates Vattel on the question of eligibility for POTUS. However, there are writtings which indicate that a “person” is a “Natural Born Citizen” whose father accepted allegiance to the U.S. Given that Rubio was born 19 years after his parents emmigrated from Cuba, I’d say there is argument his father had accepted allegiance to the U.S. There are also writtings which state that a person born on U.S. soil is recognized as a NBC at the time in which the person’s father has become a naturalized citizen. Rubio’s parents were naturalized in 1975. This is what my research has indicated. If you have some other research, more recent than Vattel, that contradicts, I’ll entertain it.
There are three supreme court cases that define quite clearly what constitutes a “natural born citizen”. A child born on US soil to parents who where citizens of the US prior to the child’s birth.
There are those who have changed the words of numerous supreme court cases found on line so as to hide the above “FACT”.