Whether a child has a legal father is not exclusively a religious question under established international law going back to the time of the founders.
It is a fact IIRC that absent a marriage of the mother, the child gets only the citizenship of the mother.
The explicit language of the 1948 BNA which does NOT grant UK citizenship to bastards is NOT based on religious marriage but legal marriage.
BHO Sr’s legal tribal marriage to Kezia in Kenya (a NON-Muslim marriage, BTW...all the children of that marriage were NOT raised Muslim.. but one converted as an adult) was publicly affirmed by BHO Sr. in his letters to Tom Mboya in the Stanford archive and effectively considered to be legally valid marriage by the US INS in file notations when they booted BHO Sr.
And none of that was known what Barry Jr. was born. There is a legal decree of Divorce. That means there was a legal marriage. We have to go with what is officially recorded until such time as those legal records are retroactively updated but further legal action.
So at this point, Barry Sr.’s women problems are irrelevant.