I work at McGuire. Up until 2 years ago, I held a reactor operator's license for both Units 1 and 2 there (I gave it up voluntarily to get off shift and into work management).
Prior to that, I was a nuclear electrician on submarines.
KI tablets are used in the event of a large area release of radionuclides into the environment. They are only effective to prevent radioactive potassium uptake by the thyroid - any other radioactive iodine that's been ingested will remain unaffected.
Now - to get a large area release, a whole lot of bad needs to happen. 3 fission product barriers would have to be breached:
- Fuel pellet cladding - fission products remain within each fuel pellet. Only if the fuel is damaged can fission products escape into the primary coolant system
- Primary Coolant pressure boundary- if fuel damage occurs and fission products do escape into the primary coolant system, the pressure boundary- (reactor vessel, coolant piping, coolant pump seals, etc) would also have to suffer a catastrophic failure. We do practice for large break loss of coolant accidents (think a double ended shear of coolant piping, a loop just "falls off") and the plant is designed to survive such an accident without fuel damage
- Containment Building - the Containment Building would also have to fail. It is a pressure-rated containment structure with double isolations for every penetration into it, with automatic isolation in the event of an accident. It also has pressure reducing design features to limit peak pressure and drive pressure down to prevent exceeding it's design basis positive and negative pressure ratings.
I say all that to show a large area release is highly unlikely and requires a lot more than just an accident occuring. Post Three Mile Island (TMI) and Chernobyl, a lot of design changes and philosophical changes were made to the industry to mitigate the chances of anything like that happening again.
Post 9/11, more changes were made to mitigate and combat beyond design basis accidents - ways to prevent core or spent fuel pool damage from occurring event if the plant were faced with situations outside of its postulated worst case scenario accident.
Post Fukushima, plants spent tens of millions more each (McGuire alone was around 85 million) on specific equipment to deal with an extended loss of power event (which is what really drove the accident at Fukushima), with redundant sets of equipment on site plus complete back-ups available regionally.
How close do you live to the plant (I live 6 miles away as the crow flies, if that makes you feel any better)?
In what direction from the plant do you live (predominantly upwind or predominantly downwind makes a difference)?
Taking them is also not without risk, as there are some effects.
All that to say realistically, you probably don't need KI tablets.
I don't stock them. I might one day, but it is not a big concern of mine the way other dangers are.