How does one redeem society? Should Christians even bother?
Should Christians even make a distinction?
In the book, Creation Regained: Biblical Basics for a Reformational Worldview by Albert Wolters
there are two helpful contrasting diagrams that illuminate these issues.
The versions below are taken from here.
The point here is that one should not make a sacred/secular distinction. Rather, a more helpful and appropriate category is whether things are done in harmony or conflict with good God's design, expressed in unfallen creation. The key question is then whether in a particular time, place, and context a specific thing [whether the church or sport] is being done in accord with God's good design.