This is not the case in NY City. Property taxes are low relative to surrounding areas, because NYC relies on a city income tax for the bulk of its revenue.
And NYC has a relatively large number of jobs that pay in the $100-500K range.
Long Island and the counties just north of the city are facing the same death spiral as NJ, with the same results: slow ghettoization/foreign occupation of the areas. Still many exclusive areas, but less and less Americans (and W-2s issued) on the whole.