Actually...No; there are not two classifications of people for salvation.
Jhn 6:39 - And this is the Father's will which hath sent me, that of all which he hath given me I should lose nothing, but should raise it up again at the last day.
Jhn 6:40 - And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day.
John 6:39 depicts Christ restoring corporate Israel from its fallen state at that time. Notice the impersonal "it". Further, the word "again" indicates that "it" had previously been unfallen and within God's good grace, fell, and then been restored only to fall again. This applies historically to BC Israel, but cannot apply to any individual human conceived in sin.
Only John 6:40 is about the individual believer. Notice the personal pronoun "him" (sorry ladies;)).