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What if Britain decided to pursue a policy of encouraging interracial marriages between native Americans, settlers, and Africans? Now they could do it for the sake of keeping peace between the sides so that they're more connected (like what happened in Paraguay). Using the carrot-and-stick method the British Empire uses an arsenal of incentives to get the racial groups to mingle together and produce interacial offspring.
If something like that happened in the British North American how are the cultural and political landscapes changed? How will the idea of race change? And would it necessary make the lives of Africans be Natives better?
Also could an independent US continue to pursue such a policy? If not how could they and what would happen if they did?