My, my, you turn your back for a few days and there's a thread about soft tops that, given the heat generated (at the expense of light, it seems), must in part be responsible for bringing down President Mubarak. Great thread, though. A blinding read.
Rmmchl (or however it's pronounced), I've put a new soft top on my car from scratch. Frankly, I cannot imagine anything more likely to result in sub-optimal end result than: taking a soft top off one car, shipping it to [insert country/state/province], having experts put the frame on a different car, cover it with a new soft top, removing it from that car, boxing it up, then shipping it [from Area 56/wherever] back, halfway across [insert country/state/province] to location 'X/Narnia/Atlantis' whereupon it's fitted to a different car by someone who has not fitted a soft top before.
Lightheartedness aside, this is a recipe for disappointment on an expensive scale.
A few observations from someone who does - now, with superb hindsight - know a bit about fitting soft tops. First, it's a painful, tiresome experience. In my view - but noting I'm in no way an expert - I can easily see how it would take 4 hours to set up the frame on a new car. (Trust me, taking it off provides no clues as to how long putting it on takes). It has to be shimmed, moved back and forth to get the elbows straight, to get it aligned properly with the front and back locks, etc. It could easily take 4 hours.
My biggest concern, though, is the fact that a new top will take a long time to have stretched sufficiently onto a frame such that when you take it off, it won't change the geometry of the frame. (I would have thought). My top is tight as a drum when up. If I undid the frame, it would move and would take ages to get it aligned again. If I moved the frame having just put the top on, say, to ship it from here to there, I think it would present a big challenge when the time came to refit it.
In short, to answer your questions: YES - IT COULD EASILY TAKE 4 HOURS TO PUT YOUR TOP ON A DIFFERENT CAR. PROPERLY.
But I'd really advise you to think again about doing this. I fear the end result will drive you mad. Even if this thread doesn't.
(But I'll keep watching it, because I've had a crap week and it's cheered me up a little!)