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...He is supposed to have demanded that she return with him to Kenya with her son. We are expected to believe that the kenyan came to Hawaii around christmas 1971, zero was already at school in Hawaii as his teacher tells us; the kenyan gave a talk to the class while he was there.

This detail was in Obama's book, but the date seems to be off by how the story is told from the Kenyan half-sister's POV:

Auma told me: ‘I was 12. He [Barack Sr.] was in hospital for a year, and Roy and I lived basically on our own. When he got out of hospital, he went to visit you, in Hawaii.

‘He told us that the two of you would be coming back with him and that then we would have a proper family. But you weren’t with him when he returned, and Roy and I were left to deal with him by ourselves.

link to source

All I can attempt to add to that is...it seems the kenyan and Ruth separated after approx seven years, and that would take you to 1970/1971. Ruth arrived in Kenya in late 1964.
So, when Auma says she was twelve when the kenyan went to Hawaii that sounds reasonable.
Just what he might have told her, or if he told her anything at all, I have no idea.
I’m not even convinced he was married to Kezia.
He had an older brother - who seems to have been ‘lost’ for some reason. He might well have been Kezia’s husband.

Did anyone know the kenyan had an older brother named Yusuf?

http://www.stop-obama.org/?p=312

“...“Barack,” Roy said happily, “these are our uncles. This is Yusuf,” he said, pointing to the slightly built man with a mustache. “And this,” he said, pointing to the larger, clean-shaven man, “this is our father’s youngest brother, Sayid.” [263]