Does the very thought of sharing your faith with an unbeliever make you sweat? If so, as a leader you understand exactly what the rest of your group feels regarding evangelism. There's nothing more important for a leader than empathy.
Because you know how they feel, a principle you need to pass on to your group is how simple and natural it can be to offer Christ's love to people.
As a leader, your role is to help your group understand Jesus' heart for the lost. Matthew 9 says Jesus looked out on the crowds and felt compassion for them because they were harassed and helpless, like sheep without shepherds. Jesus has a vision that there will be a shepherd for every sheep. That's the heart of being a light in the world.
Once people really hear Jesus' heart, their fear doesn't seem like such a big deal. Being a light in the world doesn't mean preaching to thousands of people. Your group can start being lights in smaller ways, even if they don't know the Bible very well.
If everybody in your group thinks of one or two unbelievers they know, then together you should be able to come up with ten names. Maybe it's the mom of another kid on your kid's soccer team or somebody you know from work. Over the next couple of weeks, your group will pray for these individuals. Some may think praying for these people won't have any affect, but God answers prayers like these.
If your group is feeling adventurous, why not have a barbeque or a Christmas party and have everybody in your group invite one or two unbelievers? You don't have to talk about Jesus the first time you meet them. Just let them see how you love one another. Jesus said that unbelievers know who he is by seeing how Christians love each other. Be honest that you know each other because you're in a group that studies the Bible together. Let the wheels start turning in their minds.
When fear does surface, remember that even the apostle Paul said that he ministered not out of his strength but out of his weakness so that people's faith would rest on God's power. The Holy Spirit will go with you in power. All you have to do is be open.
