Some Sabbateans became Turks after the converted to Islam. Some crypto-Sabbateans became "Donme", but they have nothing to do with Khazars.
"This is the truth. But most people who spout the "'Ashkenazim aren't real Jews" line simply want to believe this and cannot be persuaded otherwise. "
Entirely try. Kevin Brooks refuted the argument before the genetic information was in, but antisemites have the gall to cite his book as a source, while ignoring its content.
Thanks for the corrections. I didn’t mean to mislead anyone. My intention was to defend the ‘Ashkenazim, who are so often accused of being “Khazars” or not “real Israelites.”