There is no direct connection between Khazaria and the Pale 800 years later.

There is no evidence that Ashkenazi came from Khazaria and nowhere else, and even if they did it was the decision of the other Jews to allow it because the continuing polity of Judaism remained the same. (Reform and Frankist Jews have done much worse to modify the polity of Judaism than Khazarians did.) DNA evidence indicates a racial mix, not a pure Khazarian strain. So:

If Americans can tell Jews they're not Jews but someone else is, Jews can tell Americans they're not Americans but someone else is.

I asked you honest questions and you don't have the answers. I continue to seek the answers. Maybe I should ask the Jews since they were the ones who first noted that Ashkenazi had mixed heritage including Khazaria (they announced this because they thought it would weaken anti-Semitism but it made it worse).