They did, they’re was a lot of backlash against anti-nazis, especially pre-holocaust. Partially because nazi propoganda was so effective across the world. But also partially because anti-Semitism was practically mainstream across the world.

US famously rejected a boat of 900 jewish and other German refugees cause 1 dude lied (these people would be sent back and 40% of them would later die in the holocaust). We were terrified of foreign spies, which is an attitude that culminated in it internment of the Japanese. We were offered Jewsih refugees many times, including children, we rejected them.