Well in my experience the main difference is that I can't connect with non-believers on the same level as I can with Christians. The simple reason being that non-believers simply don't understand why I, for instance, wouldnt have sex before marriage, or why I pray to someone I cannot see. There is no real reason why a non-believer can't be a good example, they just can't help you progress spiritually.
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Of the answers given, your understanding here has a solid foundation. We are to love our neighbors, and to find good were good can be found.
There is an Old Testament law which states that God's people are not to partake of a creature whose life remains in him or her. When we hear the expression, "The old man is dead" or "I crucify my flesh (nature) daily" speaks of the nature of a man which has been slain by the Word of God. This is what was shown to Peter in a vision where unclean creatures were lowered and then taken back up; at the same time there were people sent to Peter who also were considered unclean to Peter according to law. And Peter noted this law when he said they were unclean (creatures). But our Lord said that what He has made clean, no man shall call unclean; And the He said, "Rise, Peter, kill and eat." In other words, we cannot become food for God's people until our nature is slain by the Word of God.
A good role model is someone whose traits we follow after. In the sense that we are to find good, is to work good into the day. Jesus said that a person knows how to give good gifts; but He also indicates that the same time, how much greater the gift of eternal life!
In as much as a non believer knows how to do good in a worldly sense, our own lives should also portray to that person; there is a better way to consider the things he or she does. We know a person is going in the wrong direction if he believes he is justified in the things he does in the presence of his friends and neighbors, and has no need to repent of his sins. This is where we need to exercise caution because of the difference between what seems right to a man, and the obedience of God's people.