One thing you will struggle with as a parent inevitably is motivating your child in life. Involvement in combative sports like wrestling, kickboxing, Brazilian Jui Jitsu, etc. will not only motivate them within the sport on the mat but also in life off the mat.
One of the many benefits of mat sports are that the sport takes place individually and athletes are responsible for themselves and their actions. However there is also an overlaying sense of team within the sport, in which being a part of that team you also have a responsibility to them. You win and lose as a team despite the individual athletic performance, this helps develop healthy relationships full of support and encouragement as your child will experience every aspect of sport. Your child will be a part of something bigger than themselves and this will develop a sense of drive in them.
Your child will become a very driven human being and will learn how to cooperate and collaborate with others to achieve goals. To be successful and grow in combative sports you have to work with others, your coach, trainer, training partner, etc. This ability to function in a team will help them in sports, yes, but also in school, work, and life in general, helping them to become the future leaders of tomorrow.