We tried one of those bans. 

The Volstead Act.  and the 18th Amendment to the Constitution.  October 1919 through  December 5, 1933.

Other than making millionaires out of the Kennedy family and other such bootleggers and introducing the tommy gun to organized crime, it was fairly unsuccessful.   With that history, I wouldn't hold my breath on that one.

With 330 million firearms in private hands, the odds of repealing the 2nd Amendment looks a little dicey, too.