Impressive list to be sure. But is this the result of the education imparted alone or the combination of education, ambition, money, class, and connections that come to play? Although we, on this side of the pond like to think of ourselves as more meritocratic and less influenced by class, look at the number of our leaders who hail from elite prep schools and Ivy League colleges. For example, both George Bushes and Al Gore were Yalies, and members of Skull and Bones too, if I remember correctly. My father and older brother went to Ivy League colleges. I did not, but I was still fortunate enough to have had a "priviledged" private education (attending fifth and sixth forms at an elite boys boarding school and then attending a prestigious private four year college). But whereas my brother finished his education as a Keasbey Fellow at University College, Oxford, I simply got my graduate degrees at the local state university, paid for it myself, and I've spent my life since earning a fairly meager income teaching in a large public (in the American sense) school serving a poor neighborhood. I will say that the contrast in educational philosophy and opportunity is extreme. Yet the state-funded "public" system does produce some incredible talents. Or perhaps, incredible talent will emerge regardless!
Now to the OP. I can't see Martial Arts being offered widely in our public schools, even as an extracurricular "club" activity. The liability factor is too great. I do have a friend, a history teacher, who sponsors our (Western historical) "Sword-fighting Club". His request to start the club was approved with the clear understanding that if "anything happened" he would have zero support from administration and it would probably mean his job.