I believe far to many Christians feel this way about themselves, and this feeling is not biblical. There is nothing in the scriptures to back our feelings of insignificance. To say to God "Why me? I'm useless and insignificant!" Discredits and dishonors everything! God sending his son, the teachings and miracles of Jesus, His death and resurrection... everything! Why would Jesus set an example for us to live by, if it were a life we couldn't achieve? He exampled it, because we can live like him! When he came into our lives, we kissed poor little insignificant, useless poopy face, sinner person goodbye, and said hello to a new life in Christ. We are little, but we're not insignificant or useless. Not anymore!
2 timothy 1:8-10:
"So do not be ashamed to testify about our Lord, or ashamed of me his prisoner. But join with me in suffering for the gospel, by the power of God, who has saved us and called us to a holy life—not because of anything we have done but because of his own purpose and grace. This grace was given us in Christ Jesus before the beginning of time, but it has now been revealed through the appearing of our Savior, Christ Jesus, who has destroyed death and has brought life and immortality to light through the gospel."