If you gave one a shave and dressed it up, there is scarcely anything that differentiates them from modern man. Except for the larger brain capacity. They died out several thousand years ago due to competition, displacement and rapidly shrinking numbers.
Neanderthal has become a shorthand for blundering into extinction. We have been lucky thus far - but Nature plays no favorites in the struggle of life.
They were pushed. They were victims of the arrival of white man, the fault of everything.
And man-made global warming.