Who are the Nephilim?

A vexing question in the study of the book of Genesis is the identity of the Nephilim. After careful study, I think that they are people who are the illicit product of sexual union between angels and women. Though Genesis 6 does not provide enough information to be positive of this identity, there are two key items that lead to this understanding.
First, “sons of God” (benai-ha-elohim) in Hebrew is only used outside of Genesis 6:2 and 4 in Job 1:6 and 2:1. In Job, it refers to angels, and Satan is among them. Job 38:7 has almost the exact same statement (benai-elohim), and this is the clearest indicator that “sons of God” refer to angels. Interesting, the only other place that the ESV has “sons of God” in the Old Testament is in Deuteronomy 32:8. In the Hebrew, it says “sons of Israel.” In the LXX, it says “angels of God.” Job 1:6 and 2:1 both say “angels of God” in the LXX, and Job 38:7 has “my angels
Second, the New Testament teaches that angels had illicit sex. Jude 1:4-8 is very important for this. It says that “the angels who did not stay within their own position of authority, but left their proper dwelling ….. just as [did those] which likewise indulged in sexual immorality and pursued unnatural desire.” 2 Peter 2:1-9 is a clear parallel to this. Both compare the angels who sinned to the sexual immorality of Sodom and Gomorrah, and the “just as” and “which likewise” in Jude I think necessitates that both sins were regarding sexual immoral and unnatural desire.
I believe that the primary reason why this view is rejected is because of a general anti-supernatural belief that permeates our society today. This view dramatically affects one's understanding of the corporal nature of angels, and it also affects the timing of when a number of angels "fell."