Brazil would not have joined the Axis. There were no Axis powers in the Western Hemisphere, so there were no incentives to do so. The USA was able to convince dictator Getúlio Vargas to support the Allied effort and even send troops to Italy, because it promised to finance Brazilian industry (which it did), to build the first steel producer in Brazil (which it did), and grant a prominent position to Brazil in the United Nations after the end of the war (which it tried to do but was blocked by the other Security Council members). Germany made no such promises, though it had extensive trade relations with Brazil pre-1942, it had very little capacity or interest to get directly involved economically in the Western Hemisphere, and certainly unlike the the Americans, the post-war world they envisioned was not going to be a "democratic club" of nations. So the two positions inside the Brazilian government at the time were, the pro-American/British wing (for example foreign minister Oswaldo Aranha) which was more aligned with traditional liberal-conservativism, and wanted to declare war on the Axis; and the pro-German/Italian wing, which was closer to fascism (represented mostly by army officers) and wanted to keep Brazil neutral like Argentina.