You can still be a source of encouragement to someone even when you can't identify with the struggles they are going through. Even when you can't show empathy, you can still lift one another up in prayer, bear one another's burdens (which does tend to help when there is a lack of empathy)....
So I can't really agree with the OP, but I would suggest that apathy, rather than a lack of empathy is a better definition of evil.