I just decided to keep it and ordered a new Fender vintage bridge with the threaded saddles. Yeah, they're not the same as the original grooved, but it seems like the threaded offer better options for string spacing and alignment over pup poles and don't slide around like the grooved saddles.
I also ordered a thumbrest, bridge and pup cover. They are all new Fender parts, so they aren't 1976 originals, but I at least think I'm doing this bass justice by attempting to restore it to it's original cosmetic glory, even if the new parts aren't original.
I have a '76 P that I bought some years ago, and it also came with a BAII. Not really a bad thing but I liked the look of a bridge cover. I managed to find a NOS 70's vintage bridge, still sealed on a card, from The Brass Shop. This was Fender's line of brass replacement parts for their basses. It's a standard bent plate with the base and barrels made from brass. A lucky grab. I could now add new bridge cover.
The point is, I don't miss the BAII at all. The bass sounds as good as ever. I think you're doing the right thing by getting it the way you want it. It's not a collectible per se and you should have it looking the way it pleases you.
BTW, after several pickup changes I've currently settled on a Fender 62RI and I like it a lot. I also put on a Black Walnut pickguard cuz I like that too. I'm not worried about an original look.