Also, if you do visit Torness and you have an interest in science (which seems likely) then you might want to visit the nearby Hutton's Unconformity at Siccar Point - this is one of the places where 18th century geologist James Hutton first found evidence of the tremendous age of the Earth, as his travelling companion John Playfair put it:
"The mind seemed to grow giddy by looking so far back into the abyss of time"
This was a "psst, wanna come visit where I work?" tour from one of the guys who built and ran the plant.
Either pre-9/11 or very shortly post-9/11 -- with the rise of the post-9/11 security state there's no way such a tour would happen today. Indeed, the friend in question said some time later that he didn't have that kind of access-all-areas pass any more.
Might be worth booking an appointment to see what the British government's internet slurp has on one. At least one would know if they thought one were dangerous or not. And if one finds out one is not a terrorist after all, one can celebrate by having a rather cool day out.