What you suggest would in fact probably lead to MORE segregation and MORE of the same issues.
Wages don’t magically rise because you abolish rent control, either. You would simply price out the less wealthy to live… in the shitty suburbs.
https://www.nytimes.com/2018/03/03/world/europe/sweden-crime...
Obviously you also have also suburbs with villas where richer people live and little crime. Sweden at this point is a highly segregated society.
All these crime-ridden suburbs are within 20-30ish minutes easy public transport to the city center.
Basically think these sorts of buildings: https://upload.wikimedia.org/wikipedia/commons/0/01/Hammarku...
rather than these sorts of buildings: https://upload.wikimedia.org/wikipedia/commons/thumb/3/37/Su...