vincenzo i suggest pivoting throughout the whole swing especially impact and follow through to finish. also stop using your right arm to push, this is why you are having a hard time squaring the club naturally. you are not swinging truly, start pivoting and being passive with the hands and arms which doesnt mean slopppy or lazy, it just means the pivot is powering the arms which are structured by way of extensor action and the hands are simply clamps clamped on in their perpendicular format(flying wedges) bent right wrist plane perpendicular to left wrist cock. get the pivot to spin the flywheel (the right shoulder) down plane which pulls the arms and hands down the plane as the pivot lag pulls the body around after the initial downward thrust. this is what makes the swing of professionals look easy once they tilt at the top they swimply have to get out of the way ( PIVOT!!!!) clear the hip in the follow through and the club will have room to automatically horizontal hinge if using longitudinal acceleration (swinging)
in order for effortless power and natural horizontal hinge you must be using longitudinal acceleration and you must clear the left hip for the follow through