I just finished reading "A History of Christian-Muslim Relations" by Hugh Goddard. The book is a history of the dialogue between Christianity and Islam from the start of the Islamic period to the 1990s. It gave a great summary of what has happened over this period and what I found very useful was that is mentioned names I was already familiar with but it put these people in their context. The author has a liberal approach which is not my position but the book did not promote this view till right near the end.
There are a few short comings though of the book. It mainly dealt with the official dialogue of religious leaders and not dialogue at the grass roots level. This is particularly relevant in the age of the internet where so much grass roots discussion is happening. Also, it did not explore the very real restrictions that non-Muslims face when trying to engage with Islam.
My question to us is, if we were to write a chapter for Muslim-Christian dialogue for our period what would we say are the characteristics? What is our story in the history of Christian-Muslim dialogue?