My understanding was the US media downplayed the extent of anti-Semitism in Germany before the war, despite FDR's dislike for the Nazi regime. The examples of the US press being very co-operative during wartime is neither surprising, nor relevant to this discussion. I understood the US did not receive confirmation of Nazi plans in respect of the Holocaust until mid 1942 and the initial action of the State Department was to suppress this information. If Britain is no longer in the war, then Europe would have been substantially at peace for around a year and FDR does not have much to work with.
From the poll provided, the only rational fear of Germany appears to relate to perceived German influence in South America.
The difference between pre-war and post British in the was is vast. Any one over 25 would remember WW1 and the horrors it produced, sadly today would not bother people as much, and how Germany lost to GB, France, Russia and later in the war the US. Suddenly GB, France are out of the war, a defeat is a defeat no matter how you word it, and Russia is losing the war. I think it would be irrational not to be concerned if I was a US citizen. Hitler was talking about his wonder weapons, true they were mostly over hyped, but some had worked. The Battle of Britain and the blitz would have been shown in every newsreel in the US. Almost everyone would be horrified and could picture London being their town NY, Detroit ect. Read below the URL is at the bottom it was mentioned in 1942 and through out the war. IMO it was given enough press to be known but not to make it a priority for the Governments. This is seldom mentioned but the resources in men, building and running the camps, the railroad usage were not a small amount drain in the Nazi's that could be used in the war effort. I don't know why the "German influence in South America" would be a worry since they were not asked that question. As you contention that the Press was not relative here the amount of trust that people had in the press and the Government was much higher then. They would exaggerate or under play any the story the Government wanted. Europe would be at peace but during the cold war the press jumped on the least little incident behind the Warsaw Pacts borders and with Russia still fighting at least a gorilla war there would be no let up on the news coverage. This is a country that went from Russia is a monster allied with Hitler to Russia is being attacked by that monster Hitler overnight and the public did not take long to believe it. Just showing how life is different in European countries before and after the Nazis took over would make the threat seem as great that it is. Lastly Hitler wanted to be accepted so they would have tourists i and they would get the E-Ticket. When they got home everything would come out. Year of peace would not be enough to make Americans feel secure. Plus FDR had one thing Hitler could not ever compete with HOLLYWOOD! No pictures or escapees from Europe make some need a horrific scene shot one and if you don't think the would/ maybe did your sorely mistaken.
"The US and Britain had a number of sources of intelligence on the progress of the conduct of the Holocaust and Final Solution.
First, the Allies had close contacts with Polish resistance organisations who kept them informed about the concentration of Jews in ghettoes and camps in the General Government, and the Final Solution when it started in early 1942.
Second, the Britain and the US had some insight into the activities of the Einsatzkommandoes and police actions in Eastern Europe thanks to their code breaking efforts. The Allies were able to read some of codes used by the German railway organization.
All the intelligence coming in about the scale of killing in Eastern Europe prompted the Allies to issue a joint statement on December 17, 1942:
The attention of the Belgian, Czechoslovak, Greek, Jugoslav, Luxembourg, Netherlands, Norwegian, Polish, Soviet, United Kingdom and United States Governments and also of the French National Committee has been drawn to numerous reports from Europe that the German authorities, not content with denying to persons of Jewish race in all the territories over which their barbarous rule has been extended, the most elementary human rights, are now carrying into effect Hitler's oft-repeated intention to exterminate the Jewish people in Europe.
From all the occupied countries Jews are being transported in conditions of appalling horror and brutality to Eastern Europe. In Poland, which has been made the principal Nazi slaughterhouse, the ghettos established by the German invader are being systematically emptied of all Jews except a few highly skilled workers required for war industries. None of those taken away are ever heard of again. The able-bodied are slowly worked to death in labor camps. The infirm are left to die of exposure and starvation or are deliberately massacred in mass executions. The number of victims of these bloody cruelties is reckoned in many hundreds of thousands of entirely innocent men, women and children.
The above-mentioned governments and the French National Committee condemn in the strongest possible terms this bestial policy of cold-blooded extermination. They declare that such events can only strengthen the resolve of all freedom-loving peoples to overthrow the barbarous Hitlerite tyranny. They reaffirm their solemn resolution to insure that those responsible for these crimes shall not escape retribution, and to press on with the necessary practical measures to this end.
The Allies issued further joint statements called attention to Germany's ongoing genocide in 1943 and 1944 promising prosecution of war crimes committed by Germany.
There was also coverage in the press, for example:
London, July 1 - The Polish Government in London has been urged in a report on the slaughter of 700,000 Jews in German-occupied territories to call on the Allied governments to adopt a policy of retaliation that will force the Germans to cease there killings.
New York Times, July 2, 1942
London, July 26 - The German murder toll in Poland is reaching a new high with the total victims estimated at 3,200,000, including 1,800,000 Jews, as of May 1, it was asserted today by WladyslawBanaczyk, Polish Minister of Home Affairs.
New York Times, July 27, 1943
London, Feb. 16 (U.P.) - The Polish Government in Exile charged today that "Germany's diabolical attempt to exterminate the Polish nation" had resulted in the death of "scores of thousands" of Polish children and the complete extermination of all Jewish children in Poland.
New York Times, February 17, 1944"
I would hardly call this censorship.
https://www.quora.com/Did-the-US-know-about-concentration-camps-before-the-end-of-World-War-II