If he's moving up for a headshot @ 5', my response would be to disable him physically. It'd be much faster to close the distance, deflect the extended arm and use a series of strikes to disable and put him down. I'd use a firearm as a secondary in this instance, but it'd still depend on the situation, how big he was, the availaility of escape avenues, etc.
Whatever the counter-response, the first move would be to sidestep the extended gunhand, deflect, and get inside his defenses from there.
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