That first quote is such a weak argument too. People get kicked out of places all the time for doing illegal and terrible things. Who is this "we" that goes "after the bad guys and holds them accountable"? What does that even mean?
And while we're at it, why wouldn't there be some sort of interdiction with the post office? Are "we" not telling the government about these bad guys doing illegal and/or terrible things? Are "we" Batman or something?
Can you elaborate on you second bullet point a little? I’ve definitely not surveyed all academia on the Khazars but almost all criticism of the hypothesis I’ve been able to find is straight up hasbara talking points that simply treats the idea as a heresy without actually engaging in any sort of objective evidence based response. They even call it the Khazar Heresy even though the Jewish religion is indifferent to the “genetic” origins of Jewish groups across the world. The heresy is a heresy against the Zionist religion in that formulation. And from proponents of the Khazar idea, while I’ve seen them use it, in part, as a cudgel against the idea of a Jewish nation emerging from a specific gene pool in the Levant, arguing that this is actually a concession to Zionism seems like accepting Zionist bad-faith counter-framing (which is done by Zionists in bad faith).