Must become like them? That seems a stretch.
When everybody who has opinions that deviate in any way from politically correct accepted orthodoxy (blacks, women and Muslims are oppressed even when they are millionaires, #BLM is good, affirmative action is good, etc.) is labeled a Nazi, do not be surprised that this increases the numbers of actual Nazis. When people get insulted, a small but still substantial minority, will go all the way and start resembling the insult.
Look at Germany. While many Germans oppose the unrestricted mass migration of Muslims that Angela Merkel foolishly imposed on them in 2015, all the mainstream parties are reluctant to say anything against mass migration. That drives people to non-mainstream parties and groups. Including violence. When there is no chance to effect change politically, because the choice in the federal elections in September is between the woman who opened the floodgates (Merkel) and the man who would open them even wider (Schulz), despair can set in.