Dear Khadir,
Glad to get your detail view. I really appreciate your concern and knowledge. Let's justify my arguments.
1) According to you, Manager implies Traditional Approach where Manager with Leadership skills implies Strategic Approach.
My argument: At this point of view there is no argument.
2) You wrote that, Manager is a designation with defined duties and responsibilities where Leadership is Trait and Personality which is developed not trained.
My argument: In this point of view you tried to say that "Leaders are born not create." But research and evidence shows that leadership is a skill set and can be taught to anyone, so we must identify the proper behaviors to teach potential leaders. In this regards we also need to identify an important component : the environment in which the leader exists.
So, Leadership is a bunch of traits and behaviors which can also be transferable by proper teaching and training to others considering the surrounding situation.
3) You wrote that, Leadership is part of Management and not vice versa.
My argument: Earlier you wrote Manager is defined designation with proper duties and responsibilities, where Leadership is trait and personality. Actually we know a defined position is fixed or unchanged, that means limited. But the Leadership which is a combination of human instincts (trait and personality), is always changeable according to situation or context and researchers are researching on this. This implies that Leadership is not fixed or Unlimited.
So, an unlimited subject/object cannot be a part of limited subject/object (only partially it is correct, i.e, partially unlimited subject/object can be part of limited subject/object, but not as a whole). But the opposite is always correct. Therefore, Leadership is not part of Management but Management is the part of Leadership.
4) According to you, There is no inter-relation between leadership and management.
My argument: You wrote "LEADERSHIP MUST BE PART OF EVERY MANAGEMENT" (although this is partially correct not as a whole). And we know when we say something is part of something then there should have some inter-relation between those two. There are lots of example around us.
5) You believe in Real-Life Experience not in Concept.
My Argument: Concept refers mental ability to analyze and diagnose real time state of affairs. If real time experience is input then Concept is the Output. You believe in Input with no Output. This is the most illogical part of your writing.
One Last comment before I finish - Organizations need strong leadership and strong management for optimal effectiveness. In today's dynamic world, we need leaders to challenge the status quo, to create visions of the future, and to inspire organizational members to want to achieve the visions. We also need managers to formulate detailed plans, create efficient organizational structures and oversee day-to-day operations. Therefore, Leadership and Management are collaborative rather confronting.