For the most part, the US is still income-segregated. Detroit is the classic example, where the city houses poor, often dark-skinned inhabitants while their lighter-skinned counterparts live in the surrounding suburbs.
The greatest irony now is that traditionally undesirable areas like Oakland are being reclaimed, further marginalizing those low-income people who are unable to adjust to the increased cost of living.
It's true we all want thieves to live elsewhere, but at some point elsewhere runs out, and you're left with a class of people that are permanently enserfed as the underclass.
I'm not sure which way is better.