I'm specifically saying that some of the people moved to the suburbs for racist reasons. See for example "blockbusting", as a way to profit off from fearmongering to white homeowners, and encouraging movement to the suburbs.
These racist reasons included ones the new suburbia dwellers would have described as "wanted peace", making that quoted phrase one which requires additional scrutiny.
It is a classical logical fallacy to go from the reality that millions of people moved to Levitown-like suburbs for the perceived peace of its racially restrictive covenants to infer that all people moved to the suburbs for that reason.