If you're going to divide the world up into four races, white, black, brown, yellow, then most Jews (European Jews, or Ashkies) clearly fall into the white one. You all know this and are consciously LARPing if you argue with me.
The Nazis never argued "the Jews aren't white" (i.e. that the Emperor has clothes) like you guys do. They didn't believe in the ahistorical "white race." They were Nordicists and could clearly, objectively argue that the Jews (with their Ancient Levantine and mixed European roots) were not Nordic. That's how they could exclude the Jews on racial grounds without being laughed at. And good on them because the Jews, as sources of cruelty and degeneracy, should be excluded from any healthy society.
BTW: Being able to distinguish Jews as a discrete population on 23/me doesn't mean they're "not white." You can do that with the Swiss and Italians too.