You need to understand, when you witness to Muslims, that they already believe in Jesus. (Isa) It's just that he is not the same Jesus we believe in. If you ask any Muslim if they believe in Jesus, they will tell you, "of course, he is in the Qur'an and he is a prophet of God. We await his return."
Then you have to ask them, "Was Jesus God?" And "Did Jesus die on the cross?" Well, maybe not till you are friends, but at some point, we do need to make a distinction between their god, and the real God. They also don't believe in the Holy Spirit. But don't work on that, until they understand who Jesus is.
Because Allah did not come as a man. My seminary professor for world religions asked the imam whether God had the ability could come to earth as man. The imam said, "He could, but he wouldn't!" This imam knew the Bible better than most Christians, I was glad the professor, who was a missionary to Muslims led the discussion.
So if Jesus was an ordinary man, what did he do? Well, Muslims think he was a prophet, but not the last, or most important, leaving that to Mohammed (PBUH)! PBUH means "Praise Be Unto Him" and every time you say Mohammed, you are in some way obligated to say PBUH. Of course, we don't do that, because Mohammed was just a man, who twisted the Bible to his own devices.
Which brings me to the point, if you argue from the Bible, and score a point, they will just say that the Bible is corrupted. Because it is so old! Well, if you really want to argue, you can say, "So how come the Muslims gathered up the holy leaves of the Qur'an and burned them? Something to do with many copies saying different things, probably corrupted.
And no, Jesus didn't die on the cross, Judas did. Allah rescued him and put Judas on the cross at the last minute. So no happy Easter for Muslims! These are just a few pitfalls you might run into. Oh yes, and Muslims do want to talk with you! They want to turn the tables, and have you convert to Islam. Yep, most are evangelicals! As in preach their good news, not the real good news.
Finally, I have mentioned this before, but God is doing an amazing thing in Muslim countries. He is sending dreams and visions, and there is no doubt in these people's mind that he is only a man! They know he is God! And yes, God's love is what makes them want to know more about Jesus, and what keeps them faithful when they are threatened with death. But, God does arrange it so there is a Christian who is able to tell them who Jesus is, and that he did die on the cross for their sins, and they can have the security of knowing Jesus will never leave or forsake them!
And that person, is US, my friends! We do need share the gospel with Muslims. They are waiting to hear it! And they can be saved, if we pray and share God's love as found in Jesus.