If he did, I don't think he meant it the way that racists want to think he meant it.
He probably meant (if he said it, anyways) that you have to face the fact that there are so many crimes done by black people based on certain factors such as poverty. Poverty forces the hand of many who wouldn't do a crime if they felt they had another, more legal choice.
Don't forget police profiling. A good example is marijuana laws. More white people than black or latino people
smoke pot but most pot busts are on
blacks and latinos. It's the old saying "if you look hard enough you will find something." And well, police do tend to give second, third, and fourth looks to racial minorities while hardly paying attention to their first look at white people in similar situations.
I couldn't find anything on Dr. King saying that. The most reputable source I found was a WSJ opinion piece on Zimmerman & Martin... I also wouldn't put it past Dr. King to have said that in reference to police profiling, assuming he said it all. I would wait a few days and see what Snopes says, cause this seems like their forte.