I hear a lot of music like that. The idea of current message music and current style music is to express something contemporary, and the morals of it, Christian or not, depend on the characters and beliefs of the writers. The classic example of "timely commentary in songwriting" is the song "Six O'clock News" by Simon and Garfunkel, and if you check on the context and time of writing and release of that, as well as who they know and where they were when they wrote it, having listened to the record as a sequential song cycle, you know it's about the Harlem riots.
The problem with looking for music with Christian morals that wasn't specifically composed for church service and lyrically about the life of Christ or composed as devotional prayer in song is that it will always be topical, and therefore bound to both the time and the place of the events it was written about. A mature adult can find that kind of music, but it's not easy. If the music is basically civil, composed for aesthetic purposes or just atempo, there will be other factors to it.
For example, I had a ninth-grade teacher who though U2 were Christian, and a 12th grade classmate who thought the same about Midnight Oil, but when I listened to both bands I heard a nationalist message in both cases, and morally the two were like the proverbial apples and oranges.