Not that I would wish to talk to one who calls himself a demon who pretends other peoples words are his, but the initial premise was offered by you, when you said that Neanderthals were NOT modern humans, and then stated this was proof of evolution.
My rebuttal is that this is utter confusion, and a foolish argument to make. If they are not modern humans, then how did modern humans evolve from them? They are either related or they are not, and you cannot have it both ways.
It's like saying sharks are not modern dolphins, which "proves" somehow that dolphins evolved from sharks. It is foolishness. You stumble at the very first and obvious point of logic, so your argument is dismissed on the surface as unworhty of further discussion.