No Prohibition has a implication that morale crusaders & do-gooders were less organized and influential. If that is the case then there is a different social and legal trajectory into the mid 20th Century. If it fails to be enacted simply through a few votes short & assorted parliamentary and political deals then the moralists will be active suppressing 'Immorality' other ways. The revival Klan of 1915-1923 were supporters of Prohibition and the enforcement arm were active against distillers and bootleggers. Lacking national Prohibition some or many of the Klaverns could have been active against the legal alcohol business. Fire bombing low Saloons, distilleries, & interdicting bootleg shipments. Similar to what they tried in the early Prohibition era.
As has been mentioned many times elsewhere, the trajectory of organized crime is very different. The mob, gangs, mafia, syndicates, whatever made themselves rich during prohibition and became powerful enough to finance pumping up narcotics & other businesses that used a similar plan or operating system as bootlegging.
In general US history it avoids or alters a embarrassing failure of the great experiment.
No mob with lots of dirty cash looking for a laundry means Las Vegas stays a quiet desert town.