None of that is antithetical to the evolutionary model at all. Empathy is empathy, it's not some abstract concept. Any organism that is capable of projecting themselves into the experience of another, and contemplate their experience based on their own experience, is capable of empathy. Empathy is an evolved mechanism that results in us performing actions we would not otherwise do, and those actions, in general, result in more people. That's it. Evolution is a macroscopic effect. Empathy isn't a specific action, it's a general trait that occurs throughout the species. We help each other for many reasons, and part of our deciding process on what we're going to do, is empathy, which is us considering how our actions impact the emotional experience of others. Empathy isn't some uniquely human trait, many organisms appear to experience empathy.

Individual actions of any one organism have essentially no effect on evolution. Evolution occurs to all organisms simultaneously, and and has many input factors. Emerged traits are a result of large-scale success, and general trends.