Unfortunately, it is a historical misconception that has been accepted in Western society that the fascists, including the Nazis, were right wing. It is only conservatives who know that Nazism was collectivism (the word Nazi is short for National Socialism).
By conflating the leftist, anti-Christianity, Nazi party and its fascist cousins in Italy, Spain and elsewhere, liberals unfairly draw a straight line to the Nazi concentration camps from the Christianity-based anti-Semitism of the 19th century (the “Hep Hep” riots in Austria and the kidnapping of Edgar Mortara being the most egregious examples).
Unfortunately, this myth, which was popularized by Stalin and the Soviet Union in general, remains one of the biggest obstacles to the ability of the Conservative movement to attract Jews. Many Jews are afraid that if they scratch a Conservative they will find an anti-Semite, and so they shrink away from learning what we stand for.
In my opinion, one of the most important efforts that the Conservative mlvement could undertake would be to popularize the fact that collectivism is left-wing and that Conservatives were revulsed by the Nazis.
The other historical truth that has to be popularized is that the Republican party was founded as an anti-Slavery party and always has stood for equality of opportunity for all. It is a truism in American culture that the Republicans are racists, and this has kept American blacks and college students from understanding that the Republican party is much closer to their values than the Democrat party is.
The European Right is very different from the American Right. The former is Statist and authoritarian - hence Nazis and Fascists get tagged as Right.
By the standards of Europe in the 1930s, the Nazis were indeed "right wing," and that's what Europeans called them at the time. In the U.S., conservatism has (at least since the New Deal) emphasized small government, but in Europe of the 1930s, the main left-wing positions were international cooperation, pacifism and religious toleration, while the right-wing positions were nationalism, militarism and antisemitism.