Whose side do you think the military will take?
Good question.
I would hope they would join the Patriot side, but with so many Leftists high in the officer corps that may not happen, and you could have a military that disbands to join the various sides in conflict.
This happened in the U.S. Civil War - most of the officers and EM who were Southerners joined the CSA leaving only a shell of a military establishment that they almost destroyed in the first year of war.