The Soetoros were married in 1965. Lolo Soetoro was the only father BHO II knew.
Before the marriage, Lolo had agreed to return to his home country after he was provided an education at a US University, housing/food allowance and a stipend for living expenses. Everything changed in 1965.
Returning to Indonesia would not give him the opportunity to provide for his wife and child. Adoptions are not instantaneous and can take several years. Lolo and SAD Soetoro were appealing to INS to grant them a waiver of terms and conditions previously agreed to because of hardship.
Even though the adoption process began in 1965, by 1967 the adoption still had not been finalized. But, since the Soetoros were claiming hardship, the INS investigated the citizenship and parentage of Barry Soetoro. They found Barry Soetoro was still Barack Hussein Obama II and his father was still Barack Hussein Obama because the adoption had not been finalized.
Once the adoption was finalized, Lolo Soetoro was listed as the father on Barry Soetoro’s Hawaii COLB. Now Lolo Soetoro was legally and officially Barry Soetoro’s father with all the rights and responsibilities a father undertakes to provide for his child. As luck would have it, Lolo’s agreement to stay for two years after his education was completed had fulfilled and he was allowed to return to the US in 1968.
Also, in 1974, Lolo Soetoro was denied entry into the US because he filed a Non-resident Alien US Federal Tax Return in 1973 and expatriated in himself by leaving the US. SAD Soetoro learned a valuable lesson in 1974. Filing the wrong tax form can have severe consequences for a Permanent Resident Alien.
I must admit, you certainly do have an impressive imagination.