Neanderthals were not knuckle-draggers. They walked upright like you and I do. Take a look here, and at the reconstruction here. If the Neanderthals looked like the National Geographic reconstruction, then if you brought one up to current time and dressed him in modern clothes, he could sit next to you on the bus and you would not give him a second look.
Ok, right. I saw those GEICO commercials. I’m not much into reconstructions after some scientists (or whatever you call them) created a whole dinosaur out of one molar. Call me a skeptic but I still have the Fred Flintstone/Barney Rubble idea of how they looked. Plus my grade school field trip to the Museum of Natural History in NYC and saw them.