Would this vary by region though?
On another note didn't de-facto segregation persist until the 1960s OTL?
Yes & Yes. In the second case some groups became acceptable pre 1960. ie: The Germans swiftly blended in during the 1920s by ceasing to do 'German' things. Like using German in business and public events. Others had a tougher time of it & still could not buy a house on East A Street in 1960.