Humans are not descended from hominids and have never interbred with Neanderthals or any other hominid.
For any hominid to have evolved into humans, that hominid would have to have:
Lost his fur while ice ages were going on.
Lost almost all of his night vision while living in the perpetual twilight of the “Purple Dawn” age and while surrounded by predators which could see very nicely in the dark.
Lost almost all of his sense of smell while trying to survive as a land prey animal.
That third item would have been more or less instantly fatal for a land prey animal. Aquatic mammals, of course, do not really reqire a keen sense of smell...
The one other shot somebody might take at a hominid ==> human evolution claim would be to claim, as does Vendramini, that Cro Magnon man arose from gracile (Skhul/Qafzeh) hominids. Vendramini claims that predation BY Neanderthals drove those gracile hominids into a fast process of evolution into Cro Magnon man. Nonetheless, from Shreve's "Neandeerthal Peace", we note:
"Here in the Levant, however, the arrival of anatomically modern humans was marked by no fancy new tools, not to mention no painted caves, beaded necklaces, or other evidence of exploding Cro-Magnon couture. In this part of the world, how modern a hominid looked in its body said nothing about how modernly it behaved.
You can't expect anybody to believe that Cro Magnon man with his grand art and his advanced tools and weapons arose in very little time from something like that, PARTICULARLY when there is a vastly better explanation to hand as per the Ganymede Hypothesis.
There is also a claim that, because some humans have a certain small number of genes in common with Neanderthals, that humans and Neanderthals must have interbred. That amounts to thinking that a Neanderthal male could/would rape a woman and, rather than cooking and eating her afterwards as usual, somehow or other keep her alive long enough to bear a cross-species child, raise that child to reproductive age, and have him/her breed back into human populations without anybody catching on, i.e. the claim is ridiculous.
In real life:
Neanderthal females would kill that woman the first time her new owner left her alone for ten minutes.
The woman wouldn't fare any better than the subjects of the commie attempts to breed humans and apes into super workers in the 1930s.
Humans would notice the child was different (really different...)
And humans would kill that child and everybody else like him as part of the same program which killed out the Neanderthal. They would not need DNA tests to determine who to kill for that sort of reason, it would be exceedingly obvious.
