So, you’re assuming Barry’s father is Frank Marshall Davis, and this is recorded in legitimate vital records somewhere? That is the only possible relevance of your highly theoretical discussion.
But then, how do you explain his claim to be the son of a British subject? Are you saying Barry is a liar?
No, I'm assuming the fact that he has some African ancestry, as shown by his skin color. Under Dred Scott, that would mean that he couldn't be a U.S. citizen of any kind. Dred Scott was overruled by the 14th Amendment.