Abraham Lincoln tried that (jailing some outspoken politial opponents) during the Civil War. His authority was questioned (the states being in the Union), and it wasn’t a good “look” for a man attempting to abolish slavery. Trump would be foolish to meddle in state politics in such a heavy-handed way unless that state were to try and secede.
https://en.wikipedia.org/wiki/Taney_Arrest_Warrant?wprov=sfla1
It’s not politics, it’s criminal.
The President had to rely on SWAT teams from other agencies than the FBI and the Bureau of Prisons to control the riots in DC. He may have to rely on them again.