I personally would be inclined to leave the high range and upper midrange drivers in place during any restoration. The inset foams surrounding the drivers are rare and unobtainable now, I would expect the foam to crumble if any attempt were made to remove it in an effort to reach the driver securing screws underneath. It's nice to see a set still on a pair of speakers, most seem to have disappeared now.
Put some sort of protection over the drivers, perhaps some sturdy card or thin plywood whilst restoring the rest, cabinets etc.
I don't think there would be much to gain by removing these upper drivers anyway, crossover (which is situated in the base behind woofers) callins capacitor replacement is more relevant to any refurbishment/rebuild.
I have AR9's now, but had a pair of 90's previously. I loved them, and they are physically easier to live with than the larger 9's.
You have the makings, after sympathetic restoration of the cabinets, grille cloth and badges, and (likely) crossover capacitors, of some superb speakers.
I would go on to say enjoy, but it sounds like you already are !
Footnotes; Check out images on the internet for confirmation of the original black painted cabinet areas. Quite simply it's the backs and the areas usually covered by the grilles. AR9's are fully veneered other than the backs which are black. Of note the upper midrange drivers are unique to the AR90 and AR9's, another good reason to leave them alone, fortunate that these have not been pushed in unlike the lower midranges. Pulling out with tape should hopefully sort those and at the end of the day they are only dustcaps which could be relatively easily replaced. Finally, your cat is apparently an exhibitionist !