No, you are wrong John.
The Constitution does not offer any power for enforcing such laws, because it recognizes that to do so is destructive and pointless.
It upholds the divinity of the individual; to interfere with this, to police people for what harm they may do to themselves, is only an act that invites further societal disaster.
This is because the Constitution is humble; seeking to constrain power in recognition of the limits the human condition places upon us, while the meddling impulses embodied by prohibition laws are not. Those laws are motivated by the mistaken impression that our world is somehow perfectible, and that the human condition can in someway be cured.
Anyone well read on Thomas Hobbes, or simply some of the more brutal stories from the Old Testament, or has spent any amount of time in a decaying urban environment, would know just how mistaken this latter impression is.