If an apology will help matters then I am all for it. It takes a real man to admit that wrong was done to others.
And yes, you are right that neither you nor your ancestors were involved.
But you cannot deny that wrong was done and if the healing process will be aided by a little humility then where is the harm?
How would you personally be harmed by apologizing for the harm that slavery has caused?
I know that I won't be so I am more than prepared to walk down this path and see if it can help We the People form a more perfect union in the future. As an American I have a duty to do exactly that and I believe in doing my duty.
Should we also apologize for the Holocaust? The Potato Famine? The War of Roses? We had nothing to do with those either but someone's ancestors did and since some of our ancestors were victims of it, we/they should be held responsible. If our kids do drugs or rob stores, should parents go to jail for it? Kids with good parents go bad just as much as kids with bad parents. If you are going to say it is okay to hold innocent people responsible for crimes or atrocities... then you should consider just how far reaching that philosophy can be, and the fact that many of us--our families--were not here during the era of slavery. You should also consider that the notion of that is unconstitutional. We, the people, are granted the right of due process by the 14th amendment, the same amendment that granted the ex-slaves rights. If you are going to accuse me of a crime, you best prove I did it or not expect an apology from me. I will not give up my constitutional rights just because someone uses the past as an excuse to be an asshole.
I refuse to apologize for someone else's stupidity, and those who are holding out for an apology from descendants, real and imaginary, should get over it. It's dwelling in the past that hold people back, not the past itself. That goes for the rebel flag flyers as well as. They need to get over the past as well and let the past stay in museums and history books where it belongs.