Tcoat - that's quite a story, thanks a lot for sharing! Sounds to me a bit like "have gun will travel" - no, I didn't see the series, just know the catchphrase...
I think that dress uniform would really help to say the story. Recently I pulled off something similar, although easier:
Please note the shop coat on the hanger next to the door - I made it with a material I developed, I like to call it pavelite :-) It's made by glueing a layer of aluminium foil between two layers of tissue. Spray glue is bast for this. This material is quite good for stuff like tarps, covers and so on, because it holds the wrinkles well. I think if you used tissue with really fine grain, it could hold the folds of a nicely ironed uniform well, too!
Good luck with your build and have a nice day
Paweł