58% of Americans supported sending in the military to stop looting and property destruction, including 37% of African Americans (a sizable minority). I would assume they wanted to prevent the city being burnt down rather than stop non-violent protests.
https://www.newsweek.com/majority-americans-support-calling-...
https://www.forbes.com/sites/nicholasreimann/2020/06/02/58-o...
When the protests are peaceful, you don't need to send in military. When the city is burning, it could be a solution. I don't agree with sending them in, but a strong majority of Americans did.