If the scenario of insurrection was anywhere over in "a few whackjobs taking to the hills with their rifles" territory, then the OP's graphic is pretty valid. It would be Waco on a slightly larger scale, basically. If, however, it's a much more general sort of rising, with at least a significant minority of Americans willing to do violence against the government, then all bets are of in terms of the military's willingness to suppress the insurrection. There is no reason to believe that the military's response to whatever provoked the insurrection would be all that different from that of the general population. there would be loyalists and rebels alike.
Such a scenario pretty much guarantees a fragmented military. A fragmented military's first breakdowns would be in logistics...and without solid logistics, complex weapons and communication systems go offline in a big hurry. Those systems constitute a modern military's biggest advantage over armed civilians. One of their other biggest advantages, man-portable force multipliers like mortars, grenades, and light automatic weapons, would end up on both sides of the conflict (due to defections). In this sort of scenario, civiian weapons are far from trivial.
I make no secret of the fact that I think this nation (as currently constituted) has only got 15-30 years left before it fragments into smaller, regional polities. But dear gods, not like that, not by civil war... 
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