Dating a non believer?

Everyone has their view on dating a non-believer. I am a christian and to me 2Cor. 6:14 is a struggle for me. Do we just show kindness and love to the non-believer? I understand, that people can corrupt good character. If you are a strong enough christian would you not stand up against it and lead the person who is not saved to the lord? What is the big problem there? I know it would not be easy. Just a thought that seems to be on my mind.