I think you could draw the conclusion that the Copernican Principle also led to the sociological and anthropological principles of equality among all races, genders and classess. Of course, religions too.
I mean, if the Earth and Sun didn't hold a special place, why should anyone or anything else! Moreover, if they had, it would consistute unmerited privilege, which should be atoned for. Hence, affirmative action, h0Ɩ0cαųst reparations and hillary howling about glass ceilings.