For any Orthodox interested in learning more about Islam and possibly a basis for a dialogue with Muslim co-workers or neighbors, I would recommend: Fr. Theodore Pulcini’s A Brief Guide for Christian-Muslim Dialogue from the Orthodox Peace Fellowship’s magazine and webpage, In Communion. Fr. Pulcini points out the theological differences that make dialogue difficult – Christians and Muslims do not have a common understanding of sin or a need for salvation, and so differ greatly on their understanding of God, the role of scripture and of a prophet, and on who Christ is. Still there are some points where Christians can explain the understanding of God as love to Muslims – the basic message of the Gospel.
Fraternized 
I suppose the question might involve how two parties can learn to disagree. I must admit the rigidity sanctioned under the rubric of religion would not be acceptable in other domains. Perhaps this means there is a larger problem…