As a spiritual Christian, no, you shouldn't. But why not? Here are two good reasons:
Firstly, because the bible is clear that mankind is fallen and corrupt. Our evil natures are illustrated over and over again in scripture. If you are familiar with even a few of the vile deeds recorded from history via God's word, it should come as no surprise when you see it today.
Second, because you should know yourself. Your dark self. You have come from depravity and into the light. If you don't think you are (or have been) capable of such depths of depravity as you witness in the world, then you haven't reflected on your sin nature, your old self, as much as you should have.
Now, that is not to say that you will not be offended and shocked in a sense. Your walk with God sees you moving further and further away from your old life and closer and closer to the beauty of Christ. When cold, dark reality appears and sucks away the warmth of your contemplation of Christ, it will be like cold water on your face.
And, lest you believe yourself better than others who seem more sinful, it always does good to remember that: "but for the grace of God, that would be you."