You are not listening and making a presumption - this isn't an effort to make a new USSR, but a Russian empire. Read the parts about empires being composed of various relationships, not necessarily outright annexation; the part about Russian nationalism valuing some parts of the prior empire greater than others; that Putin's thinking has evolved and exposure to this ideology has increased his aspirations; etc.
Kazakhstan isn't a priority, yet, and has a measure of autonomy and caution, knowing that 80 percent of its oil export is through Russia and so makes its economic ties to Russia preeminent. Moreover, they don't have democratic values and are not an economic nor ideological threat to Putin's regime. Russians have emigrated in large numbers, the residual population being more nationalistic towards their country.
Not that the pretext for occupation hasn't been established; Putin has noted Kazakhs never had a state and that their future lies within Russia's orbit...considered a warning. Since then, warnings have cascaded from the mouths of numerous Russian officials and media echoing the same rhetoric used against Ukraine. Same story: Kazakhstan is an artificial, that “Northern Kazakhstan was not inhabited at all” and is “a great gift from Russia and the Soviet Union.”, that "Nazi processes" could start, that "radical nationalist tendencies" were afoot, that northern Kazakstan was "a gift", yada , yada.
Finally, I'm not sure how 80 years after WW2, and the Soviet Union's occupation and annexation of the Baltic states helps your denial of Russian aspirations, but thanks for the support.