To the best of my knowledge the zoo will not be creating a breeding herd or be constructing a new exhibit for elephants in the future. This does not mean, however, that there will never again be elephants at the zoo once Patty and Happy are gone.
Maxine's death is a new and rather unexpected development, as is the lawsuit, and combined they may force Bronx to send the two girls out despite what they initially planned or want. I highly doubt the AZA would threaten to remove the zoo's accreditation should the zoo decide to keep them, though. It's possible of course and I don't think Bronx is by any means above the AZA's rules, but this isn't Pittsburgh, Bronx is one of the top collections in the country, a top breeder for many program species, and has a record of excellent welfare, breeding success, and program management. I have a feeling the AZA wouldn't want to risk losing them over the relocation of two very elderly elephants (the relocation of which could potentially kill them mind you), but you never know.
I have a feeling Bronx will continue to exhibit Asian Elephants past Patty and Happy's departure, though unfortunately I doubt we'll be seeing any calves there. I think it would be a mistake for the zoo to not continue to exhibit the species, they are simply too integral to the WCS's mainstream conservation initiatives. We will simply have to wait and see what they decide to do in the end, as these new developments could change things drastically.
~Thylo