Who'd teach the left...
While reviving the duel is an excellent idea, who would teach most of the left-wingers how to shoot? After all, they ought to have a little bit of a chance, at least.
As for Burr-Hamilton, that was an attempted murder that went wrong for the planner. The pistols, which belonged to Hamilton's brother in law James Church, had been secretly modified to give Hamilton an advantage. They had 'blind' rifling--the outer 3 inches of the barrels were smoothbore but the rest had rifling--and a concealed set trigger. Since they were Hamilton's brother in law's pistols, Hamilton would have known that, Burr wouldn't.
Hamilton fired first and the ball went over Burr's head, but not by much. Burr then fired, hitting Hamilton in the thigh, which shouldn't have been a fatal wound and probably wouldn't have been, had the pistol been smoothbore. The rifling gave that ball considerably more velocity, even with a light charge--dueling pistols were usually charged with 10 to 15 grains--which probably put a small hole in his femoral artery, causing him to bleed to death over a 24 hour period.
One very important point--if you're trying to kill somebody, you don't shoot him in the leg! Unless Burr was a really lousy pistol shot, he was trying to wound Hamilton, as he had previously wounded his brother in law with the same pistols.