Emotions are in the most primitive parts of the brain, so I'm afraid this is exactly backwards. I'd suggest that our privilege as humans is to take our intellectual ability and use it to enrich our emotional lives. Cultivating empathy, expanding our sense of family, retraining cruel impulses and such. Loving well, so that love becomes more than lust and comfort. Take comfort that animals live rich emotional lives. Pets are a joy for the general authenticity of their feelings.
Love and fear are the least human I'd wager. They are mammalian in the case of love and even lower in the case of fear. It's rational thought that sets us apart, the rest is shared machinery. Some animals have _more_ emotional machinery than we do. (Orcas)
Many animals have a hypothalamus. Love[1] is more complicated but in my experience well within the behavioural range of many mammals, and potentially some birds. If we count maternal love, we'd get just about all K-strategists.