Really based on your logic the only option is to shun secular culture all together (Shakespeare, Beethoven...) and only take in Bible based culture.
For Christians, this is, to a large extent, true. In the sense that Christians must be on guard to not celebrate, worship, idolize, give undo positive credit to, attention to, etc., the unGodly areas of secular culture. We should be, as the cliche goes, in it and not of it.
Christians SHOULD be reserved in their celebrations of, say, Shakespeare. Yes they should.
And Christians and social conservatives even more obviously should be reserved (at least) in their celebrations of pop music acts having the unGodly nature of Ray Manzerk's Doors.