Stop Using Military Force Against Civilians Act This bill limits the authority of the President, except in the case of a natural disaster, to call into service or use state militia or armed forces to provide aid to a state government following an insurrection or to enforce federal authority. After not more than 3 days, the President must withdraw any militia or armed forces unless an extension of not more than 14 days is enacted (not more than 2 additional authorizations for extension may be enacted).