Of course it is, because no vice is purely private. Let's go through some example.
Drug use leads to a degredation in the labor pool, which makes everyone in the community poorer, even those who do not partake.
Sodomy with large numbers of anonymous partners, as took place in the 1970's and early 1980's (which mostly took place on private property, BTW), leads to epidemics which puts everyone in the community at greater risk of disease. The public health officials who failed to close down the privately owned bathhouses and sex clubs and conduct mandatory testing and contact tracing when AIDS first broke out literally have blood on their hands.
Cultural promotion of promiscuity leads to the social acceptability of extra-marital sex, which leads to more out-of-wedlock births, which leads to more children raised in single-parent homes, which leads to a higher crime, also affecting everyone.
All private vice affects the community. That is why the community has the legitmate power to crack down on it when it is prudent.
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Well done Leroy. --You've gotten our boyo to expose his communitarian/socialistic/authoritarian stripe to the core.
His version of "community" is a police state.
Then by your standards, pre-New Deal, pre-prohibition America was a police state. I'm not suggesting any more regulation of private behavior than was routine in nearly every state before the 1920's.