How to share the gospel with Muslims

I wrote recently about a survey of why Muslims come to Christ--it is, for many, because of the lifestyle of Christians. And my Dad shared with me about a book on the same subject. And then, Karen and I read from our devotional book "Voices of the Faithful" complied by Beth Moore which has testimonies from missionaries all over the world. In yesterday's devotional: A missionary led a team of volunteers from Texas into remote Muslim villages in South Asia. In one village, the team shared the gospel. The local iman (Muslim pastor) became irate and forced the Christians to leave his village.
A Muslim background believer (MBB) working with the missionary visited the same village six months later. The village was totally underwater. This is the only flood that the village had ever seen in its history. The missionary worked out a plan with the MBB to distribute food in the village.
During the relief effort, six Muslim men approached the MBB. These men had heard the gospel presented by the Americans the year before and witnessed the team being escorted out of the village. They asked who supplied the food. The MBB told them that it was from the same Americans who had been thrown out of the village. One man said, "Why are these Christians giving us food when our people treated them badly?"
That day, and on several subsequent trips to the village, the national believer shared that God could also change their hearts. Within nine months of the Americans' visit, 28 Muslims from the village were baptized and a church was started!