I don't know about 100 years ago but 60-70 years ago - and well before the Great Society - the problems were there. From a 1958 TIME Magazine article:
"They are afraid to say so in public, but many of the North’s big-city mayors groan in private that their biggest and most worrisome problem is the crime rate among Negroes.
"In 1,551 U.S. cities, according to the FBI tally for 1956, Negroes, making up 10% of the U.S. population, accounted for about 30% of all arrests, and 60% of the arrests for crimes involving violence or threat of bodily harm—murder, non-negligent manslaughter, rape, robbery and aggravated assault. In one city after another, the figures—where they are not hidden or suppressed by politicians—reveal a shocking pattern."
Yep.