Not only the midst of a zombie apocalypse and civil unrest, but also being targeted by vigilante death squads and a military extermination program... Sadly an accurate representation of a very common mental weakness, as virulent as zombieism itself
I think it makes more sense to criticize this as a weakness in the script, and less sense to pretend this person was real and try to hash out her political views. "Common" as aversion to guns may be, you can hardly say you've seen people act this way in a zombie apocalypse.
__ __ __ Gentlemen, you can't fight in here! This is the War Room!"--Pres. Merkin Muffley
Many people do express this degree of extremism now though. Not far fetched to believe that a significant proportion of these people would do it even in a zombie apocalypse.