Niebuhr wouldn't easily fit into an ideological box in these politically charged days. Written in the early Cold War era, The Irony of American History includes a critique of Communism alongside a humbling reevaluation of our own favorite self-delusions in American liberalism.
Your knowledge of the Muslim World was probably Disney's Aladdin before 9/11. Then it became limited to the daily news cycle of the "war on terror." How did such a rich and diverse civilization become relegated to the dustbin of history? Ansary does a masterful job of putting modern conflicts in their historical context from Babylon to the Six Day War.
A beautiful example of the fact that if you sit down and talk with someone from a different background, a different faith tradition, a different culture, you will come to love them and find wisdom there.