My suggestion was to appease the temperance movement by outlawing whiskey. Whether that happens or not, you still have liquor in many states.
Now, as for women in taverns, the voting movement brought a new wave of women's rights. The less modest "flapper dress" became permissible, as cinema depicted women in a more liberated sense. So, in the twenties, the saloons would have opened to women in many locations. New codes of conduct would have been established i.e., no more urine troughs in front of the bar.
With different clientele in bars, music would also evolve. Much of he evolution in music, such as the infusion of jazz, came after the end of prohibition in 1933. Contemporary music received a boost with the advent of the Hit Parade on radio in 1935, and a new, lower price for 78 RPM records in 1935.
From 1934-1940, an important development in jazz came in Kansas City when that city's political boss, Tom Pendergast, let the police look the other way as selected night clubs stayed open all night, contrary to Missouri liquor laws. The musicians would practice to shrinking audiences as the nights went on, infusing a slow blues-like style to jazz.
Most cities had corrupt political machines before and after prohibition. Without prohibition, the corruption would have less affiliation with serious organized crime (e.g., gang murders) and mob action.