As a civilian, none of us have a responsibility to "put a Lid on it". But we do have a responsibility to be civil as long as we're being treated with the same civility and respect.
It's up to the Police, and if it were to get really bad, your State National Guard, to control any anarchists . .
IF . . any federal troops or military is mobilized to control or put down citizens within the borders of this country, the Commander in Chief is breaking Federal law . .
Now . . Having a lot of friends and acquaintences in the Military currently, I can say, with confidence, that should such orders be made, by either the President or any General, there will be serious pushback, to the point of, probably, mutiny. Most of those in the Military are aware of the law and the constitutional requirements for the President or civilian legislature to declare "Martial Law" and as Obama's not all that popular with those in the Military, it would certainly be a cold day in Hell before they went against the citizens they stand before . .
That being said, protection of you and yours shouldn't be deferred to help that might not come . . . and it's not only a citizen's right to assist in upholding the law, it's their duty!