The problem is that the cam doesn't turn like expected while moving the mouse to the left or right.
I don't know how to explain... I guess by using the lookAt()-method the whole cam (including all the axis) is turned, not only the view, like i want to have.
Using the lookAt method, your camera is still set for a 3D perspective. This means that turning the camera is going to turn you away from the scene in all axis' except for one of them. You may be better suited using an orthographic view which creates a straight-on view of the scene.