Sociologists absolutely do this. Finding connections between the overall society and smaller units like families is one of the major things that sociology tries to do.
For example, one of the hottest topics in American sociology today revolves around why the family seems to be weaker today than it was decades ago. Charles Murray has just come out with a book entitled Falling Apart in which he blames liberal social trends for the fact that families in the white working class are much weaker than ever before. More liberal sociologists argue that this weakening has been caused not by social trends but by economic ones. In both cases, the scholars are trying to draw connections between the society as a whole and the family.