I have read in various places that citizenship can descend but never ascends. Meaning a child can never pass citizenship ‘up’ to their parent.
Indonesia is where there is a specific citizenship problem. The original furor from the Obama camp was not ‘the birth certificate’. It was charges of being Muslim while being Indonesia. And the blatant lying about the marriage dates of Lolo and SAD is an interesting data point. As if they know that if they were married before Obama turned 6 that it would be s serious problem.
I don't think so. I have repeatedly read that the United States does not recognize other country's citizenship laws regarding American Citizens, and that it is impossible for a parent to give up a child's American citizenship. Only the child can do so, and only then after having reached the age of maturity.
Indonesia very likely regards Obama as an Indonesian citizen, however, the United States does not, unless he has committed some demonstrable "affirmative act" of renunciation. Getting a foreign passport MIGHT qualify, but I think nowadays too many people are going to give this guy a break regardless of what he does.
Where Indonesia might cause him the biggest problem is if it resulted in a legal Hawaiian adoption, (which I suspect it did.) and the sealing of his original birth certificate. (I think we are seeing a replacement birth certificate which was created for an adopted child.)