I have moments of oversensitivity, but I'm not generally an oversensitive person. I had a boss who was a complete asshole to everyone, so even though he was all the things you listed, he was a moody, horrible person first.
Nobody says you have to like it, or support it, but there ARE also ways we accidentally treat each other based on our own personal backgrounds. I do it, and I'm not afraid to admit that. The whole point in admitting it is that we get to have the second thought. If you wouldn't repeat a certain action if you'd been aware it would offend, isnt it better to know? For me, I prefer to be aware, than to go around constantly offending people. I like offending people, but that's only when I mean to.