Just working with the statistics in the post. Do you have alternate stats that seriously corrupt the 3,000X advantage Jews hold over Muslims in Nobels Prizes? Do your stats reverse the conclusion?
I don't think you need stats to do anything of the sort. It is what it is. The Nobel prizes are given out for outstanding apptitude in a few specialized fields of human endeavor. I don't think its surprising to anyone that a culture like Judaism that highly values scholarly achievement will excel at this. It doesn't prove they have a higher overall IQ or more geniuses than elsewhere. Moreover, other than chemistry and medicine, these fields have little direct relevance to the daily lives of most people in the world in their struggles to make a living and improve their society and culture. Also many geniuses in nations with a strong independent rural tradition simply never go on to higher learning, and remain in their world of agriculture and mechanics because it is what they want to do. It is certainly that way in America. It would be interesting to know what the typical occupations of intelligent Arabs are.
I know for a fact that Arabs are known to excel in various fields just like Jews are. If you are in the Engineering business for example, its not long before you run into highly accomplished Arab Civil and Structural Engineers. But there is no Nobel Prize for Civil Engineering or Architecture, so their achievements in the field will not be recognized in the same way as a break-through in theoretical physics, or kissing up to the leftist peaceniks, or writing some modernist literary screed will.