Christians should hold themselves and each other to the biblical standard. It is much higher than the common moral bounds. Thereby others should see our standard as higher but that standard has been obliterated by liberal christianity and the grace movement. So the group of people you speak of as being held to a higher standard are odd outcasts and even looked down upon the the church at large. So of the 60 % of Christians in America maybe 10% might fit the idea of being held to a higher standard..