Why not? Hang the AR on your shoulder, stuff the pistol in your waste band and walk in with the 'gauge.
I’d have the AR on a tac-sling at my side, the pistol on a leg holster rig, the shotgun at hand with a bandolier of shells and the tac-vest loaded with 20- or 30-round mags for the AR and a few for the pistol.
There’s a difference between being a practical tactical shooter and being a shooter trying to make a point with flashy armament. Ask any grunt who spent time in the sandbox, and they’ll tell you that they’d take an AK over an AR any day given the very loose tolerances of the AK and ease of clearing a jam. Likewise, I’d rather have a Saiga or USAS12 for shotgunning than your run-of-the-mill 870.
I am, however, the type of person who would fire enough to get myself out of the situation or, if cornered, to kill. I have no illusions to mass murder.