General McMaster inherited an organizational scheme for the National Security Council that stirred protests because of Mr. Bannon’s role. The original setup made Mr. Bannon, the former chairman of Breitbart News, a member of the principals committee that typically includes cabinet-level officials like the vice president, secretary of state and defense secretary. The original order also made the chairman of the Joint Chiefs of Staff and the director of national intelligence only occasional participants as issues demanded.
Critics said Mr. Bannon’s presence in a national security policy-making structure risked politicizing foreign policy.
A new order issued by Mr. Trump, dated Tuesday and made public on Wednesday, removes Mr. Bannon from the principals committee, restores the chairman of the Joint Chiefs and intelligence director and also adds the energy secretary, C.I.A. director and United Nations ambassador.
