Not in open war. That's not to say they have better equipment than is available to any of us (and yes; 'we' are the citizens, 'they' are the military), but rather they have the solidarity---the 'attacking in formation.' No, the only way 'we' could "war against our military" is from within.... do you think that the American citizens of today could stand a chance in a war against our military? This includes all of the citizens with guns, retired soldiers, and those who have bomb-making skills and outstanding computer and network hacking skills.
And that fact is unconstitutional. When the Founding Fathers gave us the right to bear arms, they weren't thinking of 'the right to protect oneself from individual criminals; they had in mind 'that people in their homes should have strength equal to that of the forces that patrolled their streets.'