I’m an Australian. All I can say is, whatever the shortcomings of your system, it has allowed an unidentified individual to become POTUS.
You’ve been shown nothing that proves who he is.
What most Americans who care anything at all about politics appear to care about is the person who was elected to the state Senate in Illinois, then was elected to the U.S. Senate, then ran in 30-some presidential primary elections and 20-some state caucuses, then participated in 3 presidential debates in 2008 and three more in 2012, got 70 million popular votes in 2008 and 65 million popular votes in 2012, got 365 electoral votes in 2008 and 332 electoral votes in 2012.
They care, pro or con, about the POLITICIAN, Barack Hussein Obama, II.
The backstory of his life from birth to age 36 has been just about irrelevant to most Americans.
I think people in the U.S. figure that if the opposition political party doesn’t care enough to investigate or challenge the back story, why should they care. The best vetting of an opposition candidate ALWAYS comes from the people who are running against him and want the job as badly as he wants it.