When sober life feels better than drugs and their side effects, people will choose sobriety on their own without force.
In the “rat park” experiment, the rats felt better constantly using drugs rather than sitting sober in a cage.
While in a “park” setting with activities, good food and friends the rats chose sobriety on their own. Even going as far as overcoming their chemical addictions without help.
Trouble is of course we are not rats.
You do have a point about sober life winning on its own merits, which God urges on people through the bible. Sobriety most notably includes acknowledgment of the love of God.
Doesn't seem to confirm your theory, does it?