Furthermore, there is no statute law, and AFAIK, no regulation that makes a distinction between "citizen" and "natural born citizen" in terms of eligibility for any benefit or employment. There may be some indirect effect of being naturalized, mainly in obtaining some levels of security clearance, because of having so many foreign close relatives. Obama himself probably could not get a clearance, so called "YANKEE WHITE", to clean Air Force One or service it's sanitary tank, because of too many foreign relatives, but one of the requirements for that is only to be a US Citizen, not a Natural Born, or even native born citizen.One of the Disqualifying Criteria is:
E4.1.7.3. Immediate family are citizens of another country. Immediate family under this Instruction includes spouse, offspring, living parents, brothers, sisters, or other relatives or persons to whom the individual is closely linked by affection or obligation. It must be determined that family members are not subject to physical, mental, or other forms of duress by a foreign power and who do not advocate or practice acts of force or violence to prevent others from exercising their rights under the constitution or laws of the United States or any State or subdivision thereof.
Buraq might not be eligible for a Yankee White under this provision:
E4.1.5.1. U.S. citizenship.
I know when I was stationed at Andrews before I retired, I wasn't able to get one because of too many speeding tickets (yes, believe it or not, they eliminate you for that under the provision of "frequent arrests"). I had a CI polygraph, but wasn't able to get the Yankee White.
On the other hand, probably half of Congress couldn't get a Yankee White either, if you think about it.