It is far more than an examination of conscience Paul requires. He also specifically says make all equally welcome and avoid gluttony. These are behavioral considerations that affect the whole community. The Catholic NABRE departs from the pack at Biblegateway with "If we discerned ourselves, we would not be under judgment" (1Co 11:31); 'discerning ourselves' can mean perceiving the communion of believers. (This is not my idea about Paul and 1Co 11, but that of a Catholic friar who posts here.) Paul could have simply continued with the Pagan notion of feasting on the god and gaining strength from its body and blood, but Paul went further than that tradition and urged his followers to view the whole community as a "Body of Christ," and apparently to gain strength from that unity and wholeness. 

The kind of men who would want to join a chauvinist organization are not those best suited to lead diverse communities. Anyone with a need to feel superior is not going to make an able leader