Most people who walked past the blind man every day, and then one day saw him healed did not come to believe. Many who knew Lazarus was dead and saw Jesus raise him didn't believe when it became clear that Christ wasn't here to overthrow the Romans. According to the bible many who saw the miracles with their own eyes still didn't believe.
Our society is no different today.
Certainly many people have become Christians without any reference to evidence related to Christ from ancient historical sources. But there are many people who have come to Christ based in part on their study of the evidence, and the faith-inspired conclusions that they've derived from the evidence. One example is Frank Morrison, a lawyer - I believe - who started out to write a book refuting the resurrection, but who was persuaded by the evidence to become a believer. He wrote the book, “Who moved the Stone.”