Part of the problem for Americans is that they have two definitions of rights. There's the ones in the Bill of Rights, which are phrased in a negative way. And there's those in the Declaration of Independence, which are provided by the creator and that governments must implement. And those rights are extremely broad. Heck, just the right to life could reasonably be argued to ban the death penalty. (Luckily for jurists everywhere, the Declaration of Independence isn't actually on the statute book.)
In practice, I think the distinction (and to be quite honest, pretty much the entire minimalist/constitutionalist approach) is mostly used to justify path dependence. The founding fathers believed that later generations would have enhanced understanding of the world. Fetishising their every decision just makes for a worse America.