You miss the point. The problem is a collective one. When they are dispersed, local communities and schools will provide an example as well as an incentive to become more productive.
In 1920, Detroit was a city of almost one million people, almost entirely white ones.
Over the course of the 1920s, a few thousand African-Americans from the South moved to Detroit, in search of jobs. Presumably the local white population's communities and schools provided an example and an incentive.
By 1960 African-Americans were a third of the population.
By 1970 the white inhabitants were fleeing in droves, largely due to the pathological behaviors of the African-Americans who had been dispersed into their community starting in the 1920s.
Today Detroit has four-fifths the population it had 90 years ago. It's a hollowed-out shell and arguably the worst inner-city disaster in America.
Importing a thousand Detroiters into a rural community in the Upper Peninsula of Michigan will not result in a thousand new upstanding citizens - it will result in the importation of pathologies from Detroit.
Moving to another town does not immediately bestow upon a child a responsible, hardworking father who is there for them. Moving to another town does not make a woman magically unwilling to open her legs for any man who agrees to take her out. Moving to another town does not miraculously make a young punk decide to stop committing crimes and taking drugs.
Wherever African-Americans choose to live, the unaddressed internal problems of their community follow them.
Acting white is the greatest sin whether you live in Des Moines or Philly.