Republicans advocate rather totalitarian-leaning ideologies, especially from a social standpoint (such as Christian prayer in schools, no LGBT rights, no reproductive health rights, legalized death penalty, strict anti-drug laws, no citizen privacy, etc.). In this respect, their political views are similar to Nazis, minus the obvious racist aspects. Frankly, Nazis take their totalitarianism much farther, since while the average Republican has some rather regressive social views, he does not believe in fascism to the radical degree that Nazism promotes. If you took the average Republican and placed him in Nazi Germany, he would probably find its political system abhorrent just from the standpoint of individual liberties.
However, Republicans also favor more laissez-faire economics (at least, until the big corporations they're in bed with start asking for government handouts). From what I understand, Hitler didn't actually give a flying fuck about the economy, and his views on the matter were quite conflicted and contradictory. His party was called the National Socialist Party, and at times he identified as socialist in his speeches, though later speeches repudiated this. He also claimed to be very much against both capitalism and communism (particularly Marxism), which he saw as Jewish inventions. In private, he believed that protecting capitalistic competition was important, but his administration still passed laws that placed a number of restrictions on companies. Corporations were given free reign, unless their goods were useless to the state. Farmers owned their own land, but they were not allowed to sell it.
