I'm pretty insensitive to other people's problems, I'm not going to lie. I've offended people, and occasionally I go out of my way to ruffle people's feathers because it's funny to see how worked up they get about things that they know full well I don't mean.
That being said, I never get offended. I don't even understand how people get offended about things. If somebody makes a comment that's rude or insensitive, your first thought should be to let it slide off your back. Why does anything short of violence illicit a reaction?