You can't compare Western Europe to the US. Maybe to specific regions or super-urban areas, e.g., the LA to SD corridor or the Bay Area.
In which case the two are comparable: there are few if any middle-class families in the bay area that own their homes except by inheritance or some other luck (gift, lottery). Even condos and other high-density housing are all but completely out of reach for all but the top 10% of income earners. And those condos are almost all studios or 1- or 2-bedroom units that are very tiny.
In which case the two are comparable: there are few if any middle-class families in the bay area that own their homes except by inheritance or some other luck (gift, lottery). Even condos and other high-density housing are all but completely out of reach for all but the top 10% of income earners. And those condos are almost all studios or 1- or 2-bedroom units that are very tiny.