At our weekend InterVarsity conference, our speaker was teaching on God's heart for reconciliation, and one of the most profound things that he said was, "If reconciliation is going to happen, someone's going to have to get weak."
That, in a nutshell, is a fantactic challenge to the Church, which has made countless excuses for why separation on Sundays (and in our everyday lives, as my good friend Miles has reminded me) is all right. From worship preference to preaching styles, theological differences to politics, there are any number of "good" reasons to stay apart. And to give up one's personal preference, your main issue, requires weakness and humility. This goes for all races, but especially for whites, as we tend to be in more positions of power. We need to admit that we do have power and position that other races don't have, and offer those to the Lord, willing to get weak.
Or perhaps rather than being willing to get weak, it is a willingness to admit and embrace the weakness that we try to cover up so much. I don't have to get weak, I merely need to embrace it and be willing to have it exposed and used by the Lord.