I've lived in wealthy neighborhoods and never knew my neighbors. Try borrowing a tool or asking for a hand and you get looked at like some kind of 'terrist' because NO ONE wants to get involved.
In my current neighborhood, I was out of work for 6 weeks and two of my neighbors brought food by several times and another raked and cleaned my yard out of the goodness of his heart.
Thing is, poor folk who've worked for their survival know the importance of being able to call on neighbors. Folks who are given things, rich or poor, don't appreciate what they have.
In general, the wealthy do their best to distance themselves from society due to fears of someone taking what they have. The poor seek out each other as a support system. In terms of day to day living, I prefer poor neighborhoods.