The central problem with the original premise is in the statement that US Cold War 'policy' was very similar to Nazi Policy. When one speaks of Nazi Policy the natural response is to contemplate the Final Solution in all it's malevolent splendor. The OP amended it somewhat by saying he only meant as it pertained to fear/hatred of Soviet Communism and the propaganda effort directed to that.
Unfortunately the OP included 'eugenic's and segregation' as part of his proof for this connection to a similar policy between Cold War America and the Third Reich. Awfully hard not to infer the worst from this. Worse they are not even good fodder for the discussion when looked at dispassionately.
Eugenic's had largely been discredited before American entry into WWII and was a taboo subject after the revelations of Germany's Final Solution. Please feel free to cite any that took place after 1945 and before the fall of the Soviet Union, but they are few and far between. Those that may have were not US government 'policy'. Regrettably many enlightened nations flirted with the pseudo science of Eugenics in the first half of the 20th century, but no one took it to the extremes that Hitler's Germany did and all officially dropped it after WWII.
Then there is Segregation.
Both Eugenics and Segregation have their root in racism which is hardly a Nazi invention. Racism predates Hitler by at least 3,500 years of recorded history and probably goes back to before the first encounter between Homo Sapiens and their less advanced cousins.
The thing is during the Cold War no greater progress took place in race relations and the fair treatment of African Americans than this period except for the Civil War. Truman integrated the Military in the late 1940's, the Federal government used all its organs, including the US military, to enforce civil rights. Not very Nazi like is it. A hard process to be sure and some work remains to be done even today, but the racism came from the bottom up, not the top down as it would in Hitler's Germany.
More to the point the generic racism practiced within the US had little impact on the Soviet Union. Not many 'African-Russians' over there, nor were we agitating about the Jewish population within Russia. Indeed they had more to fear from Moscow than Washington. Look up the "Doctor's Plot" of Soviet history. Nazi racism was founded on anti Pan Slavic feelings, our quibble had to do with Communism as a form of government. True Nazi propaganda denounced Communism, but even if they had been Republican's Hitler would still have invaded.
Which brings us to the final point. We never invaded Russia, nor seriously contemplated the idea. We were ready to make them glow if they got too frisky, but US policy was to contain Russian Communism, not destroy it utterly. In fact it was called Containment from the beginning. Again, not very Nazi like.
We used some of the same tools to do this, but they were the only tools available and the same as Russia used against us.