OK, so she’s removed him for her passport, and she signed the application with the declaration. So who does the declaration refer to? Herself or the name removed? No wonder the world is full of immigration lawyers. I’ll stick with what I can see.
Barack Hussein Obama (Soebarkah) was removed from her passport.
What happened after that?
He arrived in Hawaii either unidentified without a passport or with a passport in the name of BARACK HUSSEIN OBAMA SOEBARKAH.
I can’t see him boarding an aircraft in Indonesia unidentified, can you?
Either way, immigration would not be able to connect him legally to the Dunhams, who might have been waiting at the airport for him.