I just thought of an alternate scenario where Lincoln kills Booth:
As Booth is about to pull the trigger, the gun jams and won't fire. Lincoln hears the click and turns around in time to see Booth pull out a knife and attempt to stab him. Lincoln grabs Booth's wrist and the two struggle in the balcony before Lincoln tosses Booth off of him. Booth stumbles back and trips over the railing, falling to his death.
As Booth is about to pull the trigger, the gun jams and won't fire. Lincoln hears the click and turns around in time to see Booth pull out a knife and attempt to stab him. Lincoln grabs Booth's wrist and the two struggle in the balcony before Lincoln tosses Booth off of him. Booth stumbles back and trips over the railing, falling to his death.