Actually the inherent absurdity of the theater unveiling in the original film ("here he is folks! G'night everybody!" :lol) was addressed in the Peter Jackson version... in that one, they have a sort of "stage production" dramatizing events from the expedition, with actors standing in for the various participants (the Skull Island natives, for example)... then Kong himself is dramatically revealed.
This to me makes sense and is pretty much the only way it would likely have been done (Denham being the huckster he is, I doubt they'd have a panel of experts from the Museum of Natural History on hand to discuss Kong's animal aspects :lol)
It does however beg the question of how they expected Kong to behave during all this. Don't apes usually throw their crap when they are agitated? :eek