The problem of screen being moved in Motorola touch screen mobiles can be rectified by a authorized service technician. It is not something that can be fixed by a lay man. Its a small technical glitch that is to be fixed by Motorola service center. I suggest you might require to visit a nearest service center.
Most of the touch screen handsets get this type of problems due to their complex circuits and software that handle the touchscreen input. Screen calibration is required to rectify this problem. You can try doing this by goin to the screen settings. If that doesnt solve your problem try resetting your mobile phone. Even if that doesnt work visit your nearest service centre to get the problem sorted out.Regards, Sourav.