Obviously, a cab model is going to add substantial weight higher up which will definitely affect center of gravity. In this case, the cab adds 635 lbs, I imagine virtually all of it above wheel height. I have seen cab models and marvel at how narrow they appear. Personally, I would never operate a cab CUT on anything but moderately flat land. This applies for all makes and models, not just deere. The size of the cab just appears to overwhelm the size of the smaller tractors, and proportion wise, already looks like it's tipping even on flat ground. Of course perception is not always reality. On the other hand, one never knows if the fear is founded or not until you actually tip it over.
Filled tires will help the situation but my guess is that no amount of weighting will counteract the increase in center of gravity. It's clear that adding as much weight as possible at the wheels will help to stabilize the tractor. The weights at the corners have a leverage effect. Widening the track will certainly go a long way towards making it more stable -- the wider, the better. You already have the weights, which are expensive. Filling the tires, especially if only water is used, is free.
As far as pucker factor goes, sitting higher up will always give the feeling of greater instability, whether founded or not. I imagine that if you sat at the top of the ROPs, even a 5 degree tilt would feel highly uncomfortable. I'm certain that this is the reason for the additional puckering when grab handle is pulled. Given that the tractor weighs over 5000 lbs as operated, shifting your weight probably isn't going to affect the COG much.