Yes, and thank you again. You are my Dog Whisperer for today.

I'm sure we will have to do this daily. The pit bull will jump on the fence every day at me and at Charlie (just like he did with me and my rottie). If I can teach Charlie to be calm and not bark back, eventually by himself (without me showing him), it will be worth us sitting at the fence together for as many days as it takes for him to do it on his own.
For two of the days (of about five) I made the mistake of yelling "Come" when Charlie was obviously not going to listen. That probably undid a lot of our recall training where Charlie had become pretty reliable. I should know better than that! The other mistake I made was going to pick him up and carry him away, when he was clearly having more fun barking back at the pit bull. To him, I was taking him away from something interesting toward something comparably boring (toys and treats), and with no leash to keep him from running back to the fence.
Your solution is progressive and proactive. Both dogs seemed to calm down, though the pit bull was still staring through the fence looking for a fight. I think we can manage the situation now, even without the neighbor or his dog's cooperation. Thanks again! I'm looking forward to see how this goes.