This is such a difficult question, but a great one. Thanks for asking it. In one way I believe we have surpassed Lincoln's accomplishment in emancipation. What he congress succeeded in passing was a bill that stated that blacks were equal to whites in the eyes of the law. I believe that most people today see people of all races as being equal, not only in the eyes of the law, but absolutely.
Having said that, it is sad that as the slaves were freed, even in the north they were shunned. Northern whites wanted slavery abolished on moral grounds, but they did not want the slaves living anywhere near them.
It has been a long road. I believe we have to consider two things. First, we must consider the laws of our the U.S. Congress and the decisions of the Courts. In that regard, I suppose we have a ways to go. The second thing we should consider is the attitude of the average American. Here is where I believe the greatest progress has been made. While there are racists and bigots around, I believe most Americans have embraced equality and are willing to live, work, worship and and send their kids to school with people of all races. There are exceptions, but I believe I am an average American, and I have personally embraced the equality of all men, absolutely.