When Obama arrived in Indonesia, he was too old to become an Indonesian citizen via adoption and adoption was the only way to become an Indonesian citizen as a child.
The law in question is Indonesian Law No. 62 of 1958, Law on the Citizenship of the Republic of Indonesia. Assuming an adoption of Obama took place, it would fall under Article 2 of this law.
“Article 2.
(1)A foreign child of less than 5 years age who is adopted by a citizen of the Republic of Indonesia acquires the citizenship of the Republic of Indonesia, if such an adoption is declared legal by the Pengadilan Negeri at the residence of the person adopting the child.”
Barack Obama was already six years old when he moved to Indonesia. In the absence of adoption papers and evidence of formal renunciation of U.S. Citizenship by a six year old at the U.S. Consulate in Jakarta, your theory fails.
Anyone who is granted Permanent Legal Resident status (green card) has files documenting their status that are available under Freedom of Information Act requests. There is also no record of Obama arriving as an unaccompanied minor and being placed under the jurisdiction of the Border Patrol.
I have written this over and over on these citizen threads. The child of my American son, was born in England and his mother is English. His birth was registered at the American Embassy the day of his birth and he was issued a regular US passport. He is a natural born citizen of the US. His birth was also registered that day at the English hospital. He may run for president of the US if he denounces his English citizenship - he may run for Prime Minister of England if he denounces his American citizenship.
When he comes to the states, he gets in the American Citizen line - his mother has to get in the Foreign line. There is no difference between the citizenship of my grandson and Cruz. Both were born of an American parent outside the US. My grandson will go to college in America as the American citizen he is.