Perhaps you have overlooked this simple fact, but the genetic makeup of your family is changing constantly. It’s from marriage and procreation, not nuclear testing.
This is a remarkable genetic change with a number of cancers of different types, different genetic causation not explained by a change in one or two genes.
Perhaps our family is prone to genetic changes but I have seen a number of similar situations with a family clear of cancer for generations and suddenly the whole damn bunch gets it.
Whatever, I trust the oil drum people and they think nuking is not a good or workable idea.
You are making broad and unwarranted assumptions regarding the diversity of their procreation partner's genetic makeup.