I'm afraid Dan goes off the rails here.
Had you asked Hitler or the other architects of the Holocaust why they were doing it, I seriously doubt Islam would have come up.
Blaming Britain for the Holocaust because they kept Jews from emigrating to Palestine also doesn't hold much water. The actual death toll in the Holocaust was not enormous until well into the war, when the Nazis decided that expulsion of the Jews wasn't possible in wartime, so they'd just have to kill them instead. It's difficult to see how British control of Palestine had anything to do with that decision.
Had the British allowed unrestricted Jewish immigration into Palestine in the 30s, which would BTW have been a violation of various pledges to the Arabs, it's difficult to see how more than some hundreds of thousands, perhaps a million, could possibly have been accomodated, for logistical reasons.
Which would have helped, but would certainly not have been a sufficient refuge for the many millions affected by the Final Solution.