The truth is that the between Silas and the the people in the room was really needed. He could just do as he please as the country is technically is as it is.
After he fulfilled his promise to President Yusmaorobis, it could be said that that act of his bought the country and made it his.
Thus, he didn't need the permission of the individuals seated in the room before he can start implementing the changes he wants but he decided to meet with them first for some reasons.
One of those reasons being that he doesn't want anyone who would try to prevent the changes from taking place in any way. Especially anyone who would want to use their high ranking position in the military to stop the changes from taking place.
Silas also took a double approach by having Luna pay the individuals seated in the room a personal and friendly visit.
What Luna did wasn't something out of the ordinary but she definitely left an impression just as Silas asked.