It depends on you. I think if you are truly that passionate about those parrots, you'd find yourself a new partner, especially if he isn't willing to try after you have showed him how much those parrots mean to you.
It could work. Sometimes partners don't always like or have to like all the same things you do. There is probably something that he likes that you really can't stand too. Its all about tolerance really. Maybe he doesn't really like birds but shares your passion for something else. For instance, instead of just rescuing birds maybe he'd be interested in ecology or in saving endangered species. Or maybe he likes crocs and snakes or big cats. I don't know, if you have a good relationship otherwise them not liking one thing you do isn't always a complete deal breaker.