The military is not a democracy.  You take an oath .... the only time it is "appropriate" not to follow an order, is if that order is illegal and then you had better have documented proof the order was illegal because a doubt any of the "Orders Project' legal team will becoming to your assistance as they my be guilty themselves of inciting sedition.    UCMJ "Art. 341b. Incitement to Disregard Military Orders" also notes: "Whosoever ... (b) organizes a band, a movement or an unlawful assembly to these ends, or takes part in its organization, adheres to it or subscribe to its schemes, is punishable with simple imprisonment or fine."