Actually, practically everyone feels this way in various degrees. That's assuming I know what you mean, and you're not saying this in a "screw the bastards they deserve it" way, which would really be despicable.
You see, humans are particularly wonderful at compartmentalizing. We hear these horrible things and put them in a box in our mind and go on with our lives. It's how people can go and buy a Hummer for their seventeen year old daughter whilst putting off that charity event for the starving babies riddled with malnourishment and infections. We've adapted this way, because life would be pretty unbearable otherwise.
I'd say it's inconsiderate of you to post this on the internet considering people who are affected personally could see it, but it's a valid concern. No one wants to think they are an unfeeling robot.
To be honest, I can feel queasy watching footage of the suffering that occurs in places during disasters or blights, but it's only out of empathy, when I picture myself in that much pain or suffering, which is still kinda selfish. People who claim they are genuinely sympathetic towards it (or rather, who claim that your position is callous) are probably unknowingly putting it on as a result on one of humanity's greatest motivators: Guilt. Guilt for living a somewhat privileged life, guilt for not feeling sorry in the "right" way, et cetera.
Just my viewpoint.