"Faulty science" you can't demonstrate because first you obviously know nothing about real science, and second you are just as obviously driven by your own non-scientific ideological doctrine, FRiend.
Further, you'll never accomplish your goal by posting obviously faked drawings of Neanderthals, drawings which any idiot -- such as me -- can see are grossly wrong in color, nose shape, eye size, stance and attitude.
Here again are the best reconstructions based on scientific evidence:
varmintman's closest ever attempt at honest representation:
All you'd have to do with this picture is eliminate the "bug eyes" and grossly flared nostrils, and you pretty much have it: