John, I have to agree with Paul. It is very difficult to put these cars back together again the way they were. I am glad to see an agency that actually cares about its historical vehicle! However, I don't understand what appears to be a need to rush - is there any event coming up? Unlike "normal" cars, and many antique fire engines - these cars were hand-built and there is often little in the way of documentation. Many parts books, online resources, and perhaps even the advice you receive here may be wrong or unavailable!
I will again echo what Paul said about us just being caretakers. Perhaps authenticity won't matter to you, your members, or the public at this moment - but the missing headliner/etc. you described in another thread may on its own cause you quite a bit of grief to replace. As opposed to the regular cars many are used to, each professional car is unique. The components may be custom to that coachbuilder for several years, just one year, or perhaps even just your car! I would personally hestitate to remove/replace, if historical preservation as a "museum piece" is your goal. I would most certainly not throw anything away. As Paul says, many things can be disconnected if electrical is your concern.
If you have already removed the inverter - I do have a need for one. If you chose to dispose of your original alternator, I am also interested in it.