And then you'd only have to deal with every addiction that's not related to illegal drugs. What are you going to do about alcoholism, or gaming addiction? Execute brewers and game developers?
E.g. the Singapore method. It works better than the western methods but people don't want to take it seriously and would rather suppress the suggestion.
The "by any means necessary" method...? I think a society based around the normalization of this level of punishment is distopian. Achieving the lowest opiate addiction rate possible may not be worth it given the probability of wrongful incarceration/death, its optimising the wrong thing. I think humanity should just accept the multi-facetedness of the universe and work on systems which work without compromising our humanity. We are hooked on mental shortcuts and quick fixes.