Well, if Adolf does not qualify, Reinhard Heydrich might; he ran a protectorate if not a country.

If someone wants to disprove my point, identical twins are required, such as the Kaczyńskis, but of exactly identical education except for music. -

More to the thread title, and staying in Poland: Ignacy Jan Paderewski was a famous musician, became rich (!), and finally Prime Minister (dominated by a strong president, though). He certainly did get some work done, but his sensitivity is not praised by everybody. He is said to have made substantial private donations to the national budget! (I wonder if these were tax-deductible.)

As I said, the impact of music teaching may not be too big and not work for everyone, but is worth a try.