I also live in a wealthy West-Coast New-World city, and attributing these phenomena to pathological inequality badly misdiagnoses the problem. Most visibly homeless people in wealthy west coast cities are severely mentally ill in ways that prevent them from living a normal life or even living peacefully with other people without some kind of institutionalization, which local authorities are reluctant to do because there's no nice way to institutionalize people.
In some places, it's possible for people with a moderate amount of dsyfunction to be able to scrape together enough resources in order to rent cheap, low-quality housing; but in wealthy west coast cities there is a massive housing shortage that is downstream of decades of underbuilding, so all types of housing are very expensive. The underbuilding was and is mostly driven by large numbers of middle-class homeowners who primarily care about the negative externalities of construction and density affecting the place where they live and own their own homes.
Neither of these problems has much to do with extremely wealthy people, or wealth inequality in a general sense.