first off Obama was never eligible to begin with, his father is not a US citizen
second off having fulfilled the maximum number of allowable terms he is ineligible to run, not that anybody cares about laws around here
We start from the premise that the rights of citizenship of the native born and of the naturalized person are of the same dignity and are coextensive. The only difference drawn by the Constitution is that only the "natural born" citizen is eligible to be President. Art. II, § 1.
While the rights of citizenship of the native born derive from § 1 of the Fourteenth Amendment and the rights of the naturalized citizen derive from satisfying, free of fraud, the requirements set by Congress, the latter, apart from the exception noted, "becomes a member of the society, possessing all the rights of a native citizen, and standing, in the view of the constitution, on the footing of a native. The constitution does not authorize Congress to enlarge or abridge those rights. The simple power of the national Legislature, is to prescribe a uniform rule of naturalization, and the exercise of this power exhausts it, so far as respects the individual." Osborn v. Bank of United States, 9 Wheat. 738, 827. And see Luria v. United States, 231 U.S. 9, 22; United States v. MacIntosh, 283 U.S. 605, 624; Knauer v. United States, 328 U.S. 654, 658.”
Then years later the Court again confirmed that distinction as follows:
“Citizenship obtained through naturalization is not a second-class citizenship. It has been said that citizenship carries with it all of the rights and prerogatives of citizenship obtained by birth in this country "save that of eligibility to the Presidency." Luria v. United States, 231 U.S. 9, 22.”
And, Luria v. United States ibid. referring back to Osborn ibid. states:
“Under our Constitution, a naturalized citizen stands on an equal footing with the native citizen in all respects, save that of eligibility to the Presidency.