You miss the point.

The Church does more than "exist in the world"; it is in fact the mystical Body of Christ in the world.

We need to get what's called "the order of charity" correct.  Priorities, in other words.

Were we more focused on how we injure the Body of Christ, with our indifferences, with our cynicism, with our stopping short of dying to ourselves every day in the image of our Master Teacher, with our infidelities and endless pursuit of "self", we'd have no worry at all about "our cultural standing" in the world.   

Our Church would instead be so attractive - because it would ever more be a vision of Jesus Christ - that conversions would be happening by the hundreds of thousands daily.

And not just new baptisms, but our own daily conversions...turning away from the smaller (or bigger) sins, and beginning again with God  - "converting" more and more into an ever more perfect image of His Son. 

Next to these huge ideas, the social sciences are but wet and soiled straw.