This has been the agenda of Protestant liberalism since late last century. Because liberals understood that cultural elites mightily influence society, they wedded their version of Christianity to causes popular among those cultural elites. This meant that religious liberals quickly lined up behind popular socially and politically liberal causes, since this is just where the cultural elites were standing. You may have noticed that these just also happen to be the views of the Eastern Establishment, Hollywood, and the major media. The cultural immersionists believe that they can win over the society to Christianity by adapting Christianity to the prevalent ideas of the culture, particularly its secular elites.
Cultural immersion suffers from two fatal errors.
Long ago the disciples of cultural immersion jettisoned any belief in the full authority of the Bible. The only thing cultural immersion really labels wrong is opposition to its own ever-shifting agenda. Second, cultural immersion quickly becomes outmoded. He who marries the spirit of the age becomes a widow in the next. There is a final view on the relation between Christianity and culture.