Black people were brought to Jamaica - a former British colony - as slaves in the same way, and at the same time, they were brought to, what was, the British colonies in America.
Not necessarily. The Caribbean has a very mixed history. With Spanish and French colonies at various times. Also Native Indian and also Indian/Asian heritage (indenture). There was traditionally more (legal) inter racial marriage in Islands like Jamaica and an older military, police and civic Afro Caribbean class with more likelihood of being sent from the Caribbean to study in a British university. It's a much more ethnically mixed and complicated history than the USA and Afro Carribeans have more slave/slave owner ancestry, not just white slave owners but black slave owners too
America had a revolution and broke away from the British, Jamaica stayed under British rule. So you are incorrect, Kamala's father would have been the descendant of slaves
That they broke away from the British didn't help US slaves with emancipation for many years longer than if they'd been British.
With millions of people descended from Anglo Indians and the history of the Caribbean. I suppose it could he argued that Kamala Harris, and Obama, are more British than North American in their heritage. Not sure how that would go down in the states though 