Put it this way, if Hitler had grok, would it really get any worse for the Jews? I don't think so. I think they would be screwed no matter what.
Not grok specifically, but yes.
The holocaust in the Netherlands was remarkably bad in large part because the Dutch administration was so well-organized and had kept a registry of Jews.
Bad guys are going to use this technology to evil ends if given the chance.
BTW, there's a chilling alternate history novel called NSA by German author Andreas Eschbach about precisely that kind of idea. The premise is that computer science progressed a lot more quickly. The book opens with German data scientists in the 1930s combining census and financial transaction data (i.e., food purchases using electronic cash) to identify households that are hiding Jews and other "undesirables" .
It failed because Nazi Germany was not militarily superior to combination of the nations that it got upset with it externally, not because of any internal failure of control. While its nice to think that Nazi Germany “failing” somehow disproves the viability of the same broad kind of one-party, massacre-the-opposition totalitarianism, it isn't really justified.