Here are the powers given to the President by the 1807 Insurrection Act, as modified in 2006:
https://en.wikipedia.org/wiki/Insurrection_Act //

This law, I am given to understand, provides a statutory exemption to the Posse Comitatus Act of 1878, which prohibits the use of the armed forces in civil law enforcement. In other words, President Trump would seem to have a tool here, if he chooses to use it. The Posse Comitatus Act also specifically states “…except in cases and under circumstances expressly authorized by the Constitution or Act of Congress…” This means that suppression of domestic insurrection is specifically exempted, as an Act of Congress – the Insurrection Act – allows the use of the military.

Now, I’m not generally in favor of the government, at any level, using force unless met first by force. But dip me in... something unpleasant if the events of the last few days ain’t been different. There is an organized, armed, destructive rebellion going on against civil authority. The protesters are blocking the public roadways, interfering with the law-abiding citizenry’s right to go about their daily business unimpeded, and possibly endangering lives by impeding the passage of emergency vehicles.

If the president won’t authorize the use of soldiers and Marines to quell the burning, rioting, and looting, then the only recourse is for private citizens to arm themselves in response and to use deadly force themselves in defense of the life, limb, and property of themselves and their neighbors. //

So, yes, the president has some tools to deal with these protests, if things get bad enough. But it's likely, for the time being, he's going to continue the "you made your bed, now you lie in it" approach.