If by “state militia” you mean the professional military, then any such conflict, the “citizen’s militia” will be thoroughly defeated, if the military remains a coherent institution obedient to the government. In other words, if it retains democratic legitimacy.
Anyone who is seriously interested in this issue needs to do some reading, namely, the history of revolutions, both successful and failed. A good place to start is Trotsky’s History of the Russian Revolution, available as an eBook from Marxists.org. He very carefully examines the issue of how the “armed workers” (the Petrograd Red Guard) could ‘defeat’ the Tsarist Army. (Hint: it was NOT in a straight-up shoot out.) But there are many other things to read.
After Trotsky, read the collectively-written book entitled Armed Insurrection, ostensibly written by A. Neuberg. It’s also available on-line, I think from the same source. It’s almost entirely full of negative examples.
Further sources of negative examples will be the history of Leftist ‘guerilla focos’ etc in Latin America, attempting to imitate the success of the Cuban Revolution without doing the necessary preparation and waiting for the ripening of events. (How I wish our current generation of American Hard Leftists would try to follow in the steps of Che Guevara and all his imitators, but they’re not that stupid, or that brave.)
Which brings me to the main point: you don’t play with insurrection. I’ll say this: anyone within the patriotic ranks who is talking about fighting the police, guerilla war, resisting gun-confiscation by armed means, is either a conscious infiltrator, a paid enemy, or an idiot who is working for the enemy for free.
The time is not yet. It may never be … no one knows the future.
At the moment, we must patiently explain our views, try to win the sympathy or at least neutrality of the broad middle of the American people, and do the other things necessary to strengthen our side: this means developing the closest possible ties with the armed bodies of the state.
If you are a patriot, not yet 36 years old, and have not yet done your military service, then the path before you is clear. If you don’t fall into that category, you belong in a citizen’s militia (more about that in another thread). Talk is cheap.