The Rev. Martin Luther King, Jr., faced a barrage of questions about race and politics during his landmark 1960 appearance on NBC News' "Meet the Press," but one of the most memorable exchanges concerned a blunt question about church life.

"How many white people are members of your church in Atlanta?", asked a reporter from Nashville.

"I think it is one of the tragedies of our nation, one of the shameful tragedies, that 11 o'clock on Sunday morning is one of the most segregated hours, if not the most segregated hour, in Christian America," King replied. Any church that has "a segregated body is standing against the spirit and the teachings of Jesus Christ, and it fails to be a true witness," he added.

Millions of Americans are still wrestling with this Sunday morning divide.

But another practical question emerged during a recent Southern Baptist Convention program entitled "Pursuing Unity: A Discussion of Racial Reconciliation Efforts and the SBC." Can Black and White church folks find gaps in their jammed schedules and start breaking bread together?

"It doesn't matter how many panel discussions you watch. It doesn't matter how many books you read, how many conferences you go to. None of that will do better than dinner table ministry," said the Rev. Jon Kelly of Chicago West Bible Church.

If people want progress, he said, they need to consider their circle of friends and ask "why everyone looks like me, votes like me, thinks like me. … When we talk about racial reconciliation, we want the fruit of reconciliation without the relationships. Until our dinner tables become diversified, … until we eat bread together and fellowship together, we won't make any progress."

Fellowship meals will not make headlines or ignite rhetorical fireworks in social media, and that's a good thing, said the Rev. Ed Litton, who recently said he wouldn't seek a second term as SBC president. He plans to focus on racial-reconciliation projects linked to his own church near Mobile, Ala.

Years ago, he said, Black and White pastors began sharing meals while discussing the "deep wounds" in that racially divided community. The key was focusing on faith and the ties that bind, until basic bonds of trust were in place.

"We hashed out why we were there," said Litton. "We weren't there to bring about some kind of social change.