A lot of resignations can not turn into a mutiny.
All it can turn into is a protest.
In the military it is step up and fill the void. If a general resigns his command/post/position falls to someone else and then they control the troops under them.
A lot of resignations as part of a conspiracy IS. Iunder our constitutional system, military officers cannot overtly engage in plots. Since 1689, Mutiny Acts have been part and parcel of the Anglo-American tradition.