The Askenazi scores are higher because of inbreeding which only supports more the claim of genetics. It's a fact that characteristics can be bread into humans and has been done throughout the ages. The only problem is inbreeding can result in some of the diseases we see within this group. However if the rules of breeding, say no further then 4th cousins is obeserved a controlled selective healthy group can be acheived. It's not a matter of "is it right?" It's already part of the process and has been for centuries. It's just until recent racial issues came up after slavery was abolished that attentions been drawn to this issue of IQ and race. A meer blink of an eye on the evolutionary scale.
I think the question is still unresolved about Neanderthal interbreeding. As of last I heard no DNA has been found on Neander.. It would be easy to back track form our pools to see if it occured but without DNA it can't be done. I wouldn't doubt it did happen though. Listening to some of the post's by those who reject these scientific finding's make me wonder if the Neaderthal gene might be prevelant in their gene pool ?