The gun is on the correct side of the plate for a right hand shooter, but should be laying on it's left side so that it can be picked up from above with the right hand. </s>
A gun that size isn't actually big enough for situations where you need a gun, it's just meant to provide cover fire while you get a bigger better gun. You'll be using your left hand to fire the cover gun, so that your right hand is available for picking up the bigger gun. This has the additional benefit of leaving your dominant hand free to eat with.