In all honesty, I'd probably drive out into North Carolina's more rural regions for a few months and wait for the initial burst to calm down. After that, my group and I would loop back around to Fort Bragg and salvage as much as possible: guns, ammo, artillery, tanks or aircraft if any are left, and enough cargo trucks to carry all of it and more. Then we'd head back to Raleigh and clear out the city block by block, walling off areas when we stopped until the city belongs to us again. Then we'd establish the Free City of Raleigh and I would try to win the first election. That would eventually be expanded to the Republic of Carolina as our manpower and cleared areas expanded, and eventually we might re-establish the United States with any other states that have sprung up in the time it took for the infection to subside. And then, conquer everything that is still infected by destroying the zombies there and annexing it under the authority of the New Union. Of course, that all assumes that the world manages to fully collapse under the zombie menace, which I doubt.
I think that the whole point of the zombie genre is that they're easy to survive against (yet somehow they manage to eat everyone else), thus giving you free rein to do whatever you want in a world filled with humanoids who are acceptable targets for shooting (and also move slowly).
Oh yeah, the zombie genre is a complete power fantasy. You get to spend your whole life shooting zombies and doing whatever you want, dangerous, but certainly not boring.