Don t worry if they never become friends. I would suppose they are somewhat similar. This is good as it generally indicates ease in bonding or becoming friendly with many members of the household, possibly including other birds. Mature males of both species that I know of are generally easy going, mellow fellows. I would say a female eclectus would be defnitely more territorial as she matures.
Every bird is an individual.
Your birds could get along great no matter what gender they are. There are some techniques you can try to encourage your birds to become friends. Play with and talk to each bird in their cage where the other can see and hear. Give Ally AND Ekkie a treat and put Ally back in her cage. Later, do the same thing, only with Ekkie.