I was thinking about Steele's domestic legacy, given the enduring sort-of-popularity of Stalin in Russia. Whatever his flaws, Steele holds the distinction of being the highest-ranking son of immigrants in American history. So long as there are immigrants to America, Steele will be a popular role model, an icon for those chafing under social restrictions imposed by WASP Americans. He will combine the success of Franklin D. (D for Delano) Roosevelt with a fairly inspiring story of a self-made man--and that will probably be enough for a lot of people to overlook the Gulags. Imagine a rally of immigrant voters in the 1960s, or 1980s, or even 2000s carrying around portraits of Steele--he will, in many respects, embody the American Dream. If his domestic building program is anything like as successful as the Tennessee Valley Authority was, there will be a lot of neo-Steelist elements in the Democratic Party for decades to come. I can imagine both LBJ and Nixon being early members of the new Democratic party, coming as they did from poorer backgrounds, and with a lot of the old money types defecting to the Republicans.
Nixon in particular, IOTL, was hired by the FBI but his appointment was cancelled due to budget cuts. Presumably, those budget cuts never happened ITTL, and Nixon is an agent of the Government Bureau of Investigation--he might not be a Kruschev ITTL, but an early Putin, or perhaps something more like an Andropov if we must go with parallelism.
Now LBJ I can imagine as a more Kruschev-like figure. Given the implication of Congress starting to reassert itself after Steele's death in the books, I can imagine him taking over from there. Much like Kruschev's denunciation of Stalin was met with anger in Georgia, LBJ's denunciation of Steele will be met with some level of outrage in the immigrant ghettos of the northeast, and perhaps to a lesser extent among African-Americans.