[Wonder Warthog]

"If/when push came to shove, they will side with those representing the Constitution."

Since both sides will claim to be doing so, how the individual military will decide seems quite an open question.

[BroJoeK]

Wonder Warthog: "Since both sides will claim to be doing so, how the individual military will decide seems quite an open question."

No it won't, because only one side will be obviously correct.
The military cannot obey unlawful orders, period.