Kikes were already well off and "kike-ing" it long before they managed to convince some of the ruling elite of the khazars to convert to Judaism. Most of the standard population practiced tengrism, Islam, or Christianity. There is debate about whether the elite actually even converted to Judaism at all.
The khazars did not spread out very far, the descendants of the khazars are other central Asian turkic groups, they make up a tiny fragment of jewish dna and this is mostly by proxy of jews mixing wherever they go.
The Tamga used by the khazars was also older than their "conversion" and has cognates with turkic tribes which were never jewish to begin with. I've seen this brought up because of Ukraine's trident, and this information is patently wrong. The trident has nothing to do with judaism, or moloch. Is it related to the khazars? Absolutely, it's because Volodymyr the Great took the symbol from them, and the symbol itself is turkic, not jewish. I highly doubt a Christian Saint would take a jewish symbol.
I bring this up because narrowing down jews to khazarians is ignoring the issue and putting forth a strawman argument that doesn't have much basis, and I see it a lot. In reality, the jews were your enemy long before some khazars might have converted and they were also already finding ways to worm their way into the west long before the khazars might have converted as well.
The possible tiny minority of khazars who converted to judaism didn't go anywhere and they were conquered. Where the fuck do you expect them to go? There aren't any records of Mongolians randomly appearing in Europe in positions of high finance. No, the jews were already here. They're not khazars, they're an eldritch abomination of races.
The jews are not converted khazars. They're israelites mixed with canaanites (which already made their blood unclean), mixed with other Semitic races, mixed with Europeans, mixed with niggers, and some are mixed with turkics. This all happened before the khazars even popped into existence, and as I said, they were already coming up with a plan to infiltrate and destroy Europe before khazars existed as well.
They killed tens of millions of Russians for what they did and now they are set on finishing the job they started with the Slavs, who they view as their property because ancestors converted. They sold them into slavery throughout history. See Crimean Slave trade.