Really good information here. Thanks to everyone who has offered experience or technical input!
There is pucker power in all instances of what you feel is your maximum.
At almost 800 hours in 2.5 years, starting from never having been in a tractor seat, I can honestly say that I have never experienced a tip issue losing a single side front or rear tire horizontally on a hill. (Side tilt).
There have been many many instances where, on relatively level ground, I was either surprised by or had to plan for 1 or more rear wheels losing ground contact with no front end loads or with heavy front end loads.
I had my rear wheels mounted out as far as they could go with rim orientation when I purchased the tractor new ... which adds about 4" per side of additional rear end width , or 8" total. That's a lot.
But still I find (with the 6" shorter wheelbase of the Kubota 3560 over it's big brother the 4060), that there is just way too little stance in wheelbase of the 3560 to compensate for the moment formed about the centerline of the tractor, with an FEL load and hitting a hole or stopping quickly, even with a posterior weight counterbalance (such as a 7ft finish mower weighing in at 400lbs or so).
The only real counterbalance on such a short machine as the 3560 is the BH92 Backhoe. That kicks in at about 2000 lbs if I'm not mistaken. But even more than the shear weight, is the extension of the backhoe, aft of the frame assembly.
By adding that much weight that far back, there is little issue with any of the aforementioned issues with regard to front to rear stabilization.
I have not yet experimented with side to side stabilization issues or lack there of while sporting the BH92 backhoe. Due to its height, at about level with the roof, but with the bulk of its weight being well below the center of gravity of the tractor I would think it would add some side to side stability. But in a situation where there is concern, one could swing the boom to the upside to give more stabilization... or downside to actually prevent a tipping situation when one is uncomfortable.
That world be a great review to experiment with for sure! Who or how many out there would like to see a video of that test in action?