I assume you live in an area where 'smog test? What's that?' applies.
Running without cats in certain states (Cali, for example) can get you fined 2500 bucks. However, I think if you had proof that the cats were reinstalled (Cali law works like this, I know it probably sounds ludicrous anywhere else), you'd be let go with court costs and/or have the fine severely reduced.
Ever contemplated moving somewhere? Make sure they don't have laws like that. In any case don't scrap them if someone else can use them, 105k I'd imagine they're at least good enough to get someone by for a year or two before having to spring for new ones or swapping another used set in.
Put it this way; would you take parts off of a 67 Impala SS and just go, 'eh, let me take this to the scrap yard?' Well, not to get all '9C1.net' on you, but these cars were only produced in limited numbers for three years and they're not getting any younger or more numerous. If you care about the car and other people who share your enthusiasm, please put the parts in the hands of someone who needs them vs. scrapping them. The beauty of a Chevy is being able to find parts for them, vs. some piece of exotica that requires a pound of flesh at the parts counter. However, if the cars are unceremoniously junked eventually they'll become expensive to run. Just sayin'.
If you don't think owning an American car can be a nightmare when the parts dry up, ask a Mopar guy. Look up an original Challenger grille in good/restored condition. You could probably buy a beater LT1 B-Body cheaper.
However, I know what I'll be looking for from now on when I see junk cars lying around that no one will ever give a **** about/are just numerous. Places that do exhaust mods must love customers who leave cats behind
