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I'm no legal expert or scholar, but research shows that this part:

The Council shall meet at the call of the Secretary of Defense or the Co-Chairs of the Council to exchange views, information, or advice with the Secretary of Defense; the Secretary of Homeland Security; the Assistant to the President for Homeland Security and Counterterrorism; the Assistant to the President for Intergovernmental Affairs and Public Engagement; the Assistant Secretary of Defense for Homeland Defense and Americas’ Security Affairs; the Commander, United States Northern Command; the Chief, National Guard Bureau; the Commandant of the Coast Guard; and other appropriate officials of the Department of Homeland Security and the Department of Defense, and appropriate officials of other executive departments or agencies as may be designated by the Secretary of Defense or the Secretary of Homeland Security.

Is a direct violation of Posse Comitatus. In short this EO turns the military into law enforcement and is the seeds to starting martial law.