I can't tell if you're being deliberately obtuse / sarcastic, but even aside from the ethical considerations here, prison is an insanely expensive way of dealing with the issue.

In the US in 2010, cost per inmate per year in a state prison ranges between $14,603 (Kentucky) and $60,076 (New York), and averages at $31,286. That's 16 years ago, so it'll be higher now. In the UK it was an average of £32,315 in 2020-21. You might as well employ an individual case worker, and the societal outcomes would be a hell of lot better.