Do a little research. He became an Indonesian citizen when his mother married Mr. Sotero. His name was Barry Sotero. He lost his US citizenship at that point.
I have.
Based on Indonesian law in effect at the time, found Here, marriage of his mother would not have automatically given Obama Indonesian citizenship. Nor would adoption, had one actually occured, since Obama would have been 5 or 6 when the familiy moved back to Indonesia and thus when the adoption would have been performed. By Article 2, setcion 1 of the same law, adoption only granted citizenship to adopted children under 5. All others would have had to apply for citizenship when they reached their majority.
And according to federal law, Title 8, Chapter 12, Subchapter III, Part III, § 1481, person born in the U.S. can only lose their citizenship if they perform what's called an expatriating act. This act must be deliberate and not done accidentally. And it can only be performed once a person has reached 18. Obama could not lose his citizenship because of the actions of others. He could not have it taken from him by foreign law.
All your claims are incorrect. Which you would have known had you done a little research.