Socialized Prostitution would greatly improve many aspects of America.
Prostitutes wouldn't be victimized by the gov't for selling what's theirs to sell. In fact, socialization could help to remove the stigmatization that many sex workers suffer as a result of lingering American puritanism, as they'd become government employees w/ benefits (no pun intended).
It could potentially lower the amount of gun violence by providing thirsty young men with some much-needed release, and by being socialized, it removes the barrier of "wealth" from preventing any individual from fulfilling a biological imperative.
Prostitutes serve similar functions as psychologists. They have heard it all, and thus they can be told absolutely anything. Having a member of the opposite sex to thus discuss one's life struggles, as well as providing him or her with a level of sexual validation, can heal a stress-sickened mind.
The vast majority of prostitutes are trafficed women forced into effective slavery of the worst kind. Legalising it because of a liberal middle class fantasy removes the protection of the law from those who most need it