@Zoological Point Good to know. They were unsigned during my visit and Red-masked Parakeets are found wild in the San Diego area, so I assumed they were that similar-looking species. I guess they are actually Mitred then.
I think that these are both Red-masked Conures or at least the bird on the left is a Red-masked Conure based on: 1) the greater amount of red on the face behind above and behind below the eye, and 2) the red patch on the bend of the wing (visible on the bird on the left), which is absent in the Mitred Conure. The Red-masked Conure (Psittacara (formerly Aratinga) erythrogenys) is currently more firmly established as a breeding, introduced population in southern California; however, the Mitred Conure (Psittacara mitratus) is also present in southern California and the two species are capable of forming mixed-species pair bonds and interbreeding. While I believe that the bird on the left is a Red-masked Conure, I could be talked into believing that the bird on the right is a hybrid or a Mitred Conure because it has less red on the face and I can't see the underwing. The Red-masked, Mitred, Scarlet-fronted (P. wagleri), and Crimson-fronted (P. finschi) Conure are all very similar; are all easily confused with one another, and all have escaped individuals living in the wild in south Florida and/or southern California. It's a tough group and I have no doubt that the identities of the birds at the Living Coast Discovery Center have been debated in the past and will be again in the future.
