There is no definition of fascism that is exclusively that. Let’s take a list of key features defined by Umberto Eco, who was the expert on fascism and you can decide for yourself if Harris fits that:

• The cult of tradition
• The rejection of modernism
• The cult of action for action’s sake
• Disagreement is treason
• Fear of difference
• Appeal to social frustration
• The enemy is both strong and weak
• Pacifism is trafficking with the enemy
• Contempt for the weak
• Everybody is educated to become a hero
• Machismo and weaponry
• Selective populism
• Ur-Fascism speaks Newspeak