Can a Christian be Unconverted?

How to identify a true Christian- they all have this one thing in common.

(Revelation 2:7 KJV)  He that hath an ear, let him hear what the Spirit saith unto the churches; To him that overcometh will I give to eat of the tree of life, which is in the midst of the paradise of God.

(Revelation 2:11 KJV)  He that hath an ear, let him hear what the Spirit saith unto the churches; He that overcometh shall not be hurt of the second death.

(Revelation 2:26 KJV)  And he that overcometh, and keepeth my works unto the end, to him will I give power over the nations:

(Revelation 3:21 KJV)  To him that overcometh will I grant to sit with me in my throne, even as I also overcame, and am set down with my Father in his throne.

(Revelation 21:7 KJV)  He that overcometh shall inherit all things; and I will be his God, and he shall be my son.

(Ephesians 4:13 KJV)  Till we all come in the unity of the faith, and of the knowledge of the Son of God, unto a perfect man, unto the measure of the stature of the fulness of Christ:

(Matthew 9:13 KJV)  But go ye and learn what that meaneth, I will have mercy, and not sacrifice: for I am not come to call the righteous, but sinners to repentance.

(Mark 2:17 KJV)  When Jesus heard it, he saith unto them, They that are whole have no need of the physician, but they that are sick: I came not to call the righteous, but sinners to repentance.

(Revelation 3:17 KJV)  Because thou sayest, I am rich, and increased with goods, and have need of nothing; and knowest not that thou art wretched, and miserable, and poor, and blind, and naked: