I have also wondered about the "Neanderthals" and "apemen" fossils.I do believe these exist, as do dinosaur fosils.Here is a theory I entertain to try to reconcile these fossils with scripture.The Hebrew word "Nephilim" (Strongs 5303) is only used three times in the Bible in Gen 6:4 and twice in Num 13:33. It seems that the only time the Nephilim were present on earth, was before the flood (Gen 6:4). I think that we can discount the lying account of the ten spies, when they exagerate the size of the Cananites, likening them to Nephilim (Num 13:33).Consider the possibility that the Nephilim were primitive races of "men" - of which there are many fossils around. These are commonly called missing links (Cro-magnon, etc.). Lucifer may have been the maker of these primitive men, just as he may have been the author of the dinosaurs (which seem to reflect his fallen nature). Clearly Lucifer had been on earth long before Adam (Ezek 28:13), and he was there to tempt Adam. Lucifer probably had been sent to earth by God to terraform it and prepare it for mankind. Placed on earth, away from God's throne, Lucifer developed a bad attitude, tried to attack heaven, but was cast back down to earth (Is 14:14).Around this time, a cosmic event (or the spirit war itself) decimated the earth wiping out the dinosaurs and leaving only a few smaller mammals and Nephilim, who survived underground and in caves. The earth became "tohu and bohu" or "without form and void" which is the correct translation of Gen 1:2. Then God steps in and, around 6000 years ago, renews the earth in 7 days. He creates a new line of mankind, beginning with Adam. But on earth some nephilim or "sons of the gods" (angels) persist. There is nothing supernatural or demi-god-like about these "primitive men". These archaic men or nephilim see the "daughters of man", meaning "daughters of Adam" and want them. Genesis 6:4 "There were giants (nephilim) in the earth in those days; and also after that, when the sons of God came in unto the daughters of men, and they bare children to them, the same became mighty men which were of old, men of renown." The "after that" refers to after that the nephilim raped the daughters of Adam, they produced more, nephilim-like men.Thus there was interbreeding between Adams line (daughters of Adam) and the angelic line (sons of the gods). This displeased God. He chose Noah, who was "perfect in his generations" (Gen 6:9) to repopulate the earth. "Perfect in his generations" means genetically without any nephilim genes in his ancestory. God wiped out all the nephilim and their half-breeds in a worldwide flood. God also filled the ark with animals of his choosing, which He had created on those 7 days.None of the Nephilim survived the Flood, and all generations of mankind on earth today are descendent from the 8 soul, who in turn are pure-bred, sons and daughters of Adam.It is just a theory I hold, until I hear a better explanation which takes into account the Bible and the fossil record.