While it would be inaccurate to claim that C. S. Lewis wrote as a public policy wonk or addressed “the social problem” at length, he did care about social issues like poverty, inequality, and class conflict. His writings on these issues focus more on achieving clarity with regard to how Christians should, and should not, engage matters of justice. While the institutional church has a part to play, it is a secondary role as compared to what Christians might accomplish by employing their vocational gifts and exercising the duties and privileges of citizenship.
Micah Watson (Mon,) studied this question.