Racial Equality could come to at least part of the United States if Reconstruction had been allowed to continue in its work to create a Biracial society.
This. Depending on one's definition of racial equality in 1900. I don't see popular racial attitudes shifting to the extent that they had by the 1960s or the present day, but I could see formal legal equality and a rough economic equality potentially becoming the norm if Reconstruction was a success.
If, through a combination of land redistribution, more support for the Freedman's Bureau, stronger state governments, agricultural credits and aid in infrastructure repair, and active Federal intervention vs. white terrorism, the black-white Republican coalition in the South becomes dominant, I could see a situation developing whereby the Freedmen have formal legal equality, a shrinking economic gap vis-a-vis whites, equal access to public services, and independent political power, but where social prejudices and de-facto segregation especially in housing, employment, and education remain.