I don't quite understand what you mean by "moving extremely weird", feel free to describe this in depth if you wish, or feel free to not, I'm just curious really.
It's a camera, and it just moves when and how you move the mouse. That's exactly how it is in your mentioned games.
But I did notice the sensitivity option may be jumping too much, or may be lacking some precision.
+ The fact that you control it with the mouse wheel and not an option bar really leaves you visually clueless as to how sensitive the camera is being, and when you restart the game, the calibration is undone, so you have to recalibrate. I understand these factors are a pain.
Ideally these things should be changed through propper menu, or something more visual, + preserve configurations between game sessions, so I could fix the FOV thing for browser and add some options while at it.