We read the history, a lot of it rhymes. Conservatives failed, and exchanged their values for a populist outsider to maintain power (see Franz von Papen). The outsider demeans immigrants and 'sexual deviants'. The outsider champions nationalism. He pardons the people who broke the law to support him. Condemns violence against the party while ignoring the more common violence coming out of the those aligned with the party. Encourages the language of enemies when discussing political opponents and protestors.

Nazi has a lot more connotations than genocide. I'm not sure it is worth nitpicking over. Even if you tone it down to Fascist or Authoritarian there will be push back.