I would advise you to read Lee Strobel's book The Case For Christ, Josh McDowell's Evidence That Demands a Verdict, some information from Answers In Genesis <answersingenesis.org> and their books, such as their Updated & Expanded Answers Book that is available on their website <answersingenesis.org/Home/Area/AnswersBook/index.asp> free of charge, among a wealth of other Christian books out there.
Other books in which Christians recount their amazing lives and testamonies are awe-inspiring and very strong proof that God is alive and still working in their lives, take for example Brother Yun's book The Heavenly Man, or Michelle Hamilton-Gregory's story outlined in A Mighty Temptest. Even less-'amazing' testamonies like how drunkards and prostitutes have turned their lives around is evidence that God's Word is working in their lives. Pitcairn's Islands with the HMS Bounty is another example of just how much the Bible's message can transform depravity into good, as is the transformation of the former blood-thirsty barbarians of the British Isles to decency further illustrates.
Even just consider the whole issue logically. How is it that if Jesus were not crucified (as the Qur'an claims) that the Gospel made such an impact on the world? Pilate or any of the other religious people - heck, even the ordinary bloke out on the street - could simply respond to the disciples saying that no such thing ever happened and ignore their message as they already know it to be false. The Gospel of Luke gives the impression that this event of Jesus' death was well known to practically everyone in Jerusalem (Luke 24:18). It is logical susicide to suggest that they could have pulled off such a lie as effecetively as they did.
Further more, since Jesus was crucified on the cross, then where is His body? The religious leaders and the Romans had every reason to produce the body if they had it and if it really were in the tomb as they would have destroyed the new faith before it even started!
Then you also have to consider the disciples and apostles themselves. In John 20:19 we read of a bunch of cowards, who were to afraid and embarrassed to even go outside for fear of the Jewish authorities let alone preach to thousands. Something must have happened to them such that Peter on the day of Pentecost got up and spoke authoritively to thousands of people without fear. They were so sure of their faith that they were willing to give up their life for what they believed. Just how exactly could such strong faith come from disciples who were scared and embarrassed about Jesus' death if nothing else happened? Peter was crucified up-side-down for his faith, while many of the others were brutally martyered for their faith.
Further consider the life of Paul - a young zealous Jewish man who actually thought that he was doing God's will by persecuting the Church! He was content in what he was doing, yet suddenly he changed his views and went from being the hunter to the hunted. Why would Paul who was perfectly happy and content in what he thought was serving God and doing His will suddenly become the very thing that he hated more than anything else if Paul hadn't really seen Jesus? He was so sure of his faith that it led him to his death in 65 AD.