I just checked out your website. Very well done and informative! As you say, the rear rank troops keep their muskets muzzle up and fill in the front rank as needed. The file closers keep the ranks and files in order and if losses are great enough, take their places in the ranks as well.
It was very rare for us to do a bayonet charge with fixed bayonets, generally just as a demo and we stopped well short of contact with opposing troops. Even without bayonets, we rarely closed and even then, it was often choreographed. When it wasn't, usually somebody got a head laid open or more often, a hand cut or bruised. So, as you can see it didn't happen very often.
Since you can't realistically reenact the hand to hand part of a bayonet charge, I would just as well not attempt it anyway. It was very violent and in the real thing, the soldiers were more likely to use clubbed muskets than bayonets anyway. We can't reproduce it without getting a bunch of guys hurt and killed. Stunt men get paid to do this, and computer generation can reproduce these scenes for the movies. I've been to reenactments and watched cavalrymen do their sword fights and they are even more ridiculous to watch. If they get close enough to do it right, it is very dangerous. To do it safely, it's very goofy looking. I say it's better not to do it at all.
Although it got to where we didn't do the charges with fixed bayonets, we still had to do bayonet drill with fixed bayonets. The public liked it even if we didn't. We used McClellan's Drill and the commands were in French. Of course we Anglicised the words, in other words, butchered them to the chagrin of the drillmaster.
I'd say that it's best that these maneuvers not be done in a reenactment of any period for safety reasons. I figure most events don't allow them anyway. However, I believe that you can demo an advance with bayonets fixed (no running) for the public and bayonet drill will enhance the experience for the soldier if taught correctly.
:thumbsup: :grey: