Ron, here are my amateur thoughts
inter alia:
1) What is the voltage output of the solar panels you are using? Does the voltage swing wildly pending the intensity of the sun, and you have a voltage regulator? Or is it always the exact same voltage, but the amperage swings wildly?
About 18 volts on mine with about 5+ amps. 5x18 equals 90 watts. That is under full sun direct exposure.
2) I heard solar panels can get extremely hot when absorbing full sun. Is that your experience, and if so, are there safety concerns? Are there concerns of compromised integrity of the motor home's roof?
I used an infrared temp gauge and didn't get enough heat to worry about. I measured the surrounding roof and compared that to the panels mounted on the roof. I forgot what the dif was buy it was minor.
3) When operating at max efficiency in full sun and perpendicular to it, what amps and volts could I expect from a 100w solar panel? I assume I would get 100W. What would be otherwise "typical" on a sunny day with no clouds? What could be expected on a 50% cloudy day?
See my answer to (1). On cloudy days I seem to get about half efficiency.
4) How sensitive is a "less than ideal" angle to the sun? I see keelhauler has two panels mounted very nicely on his roof, but they lay flat, almost never perpendicular to the sun.
I was surprised how well mine work early in the morning and later in the afternoon when the sun is at a lower angle to the panel.
5) If I mounted one decent solar panel (100w-150w or whatever it is that you have) on my roof, what could I expect with regards to supplementing motor home operations and charging a pair of 6V AGM batteries? Assume minimal operations during the day, just our fridge operating on propane while we are out for the day. If my pair of 6V AGM batteries are reading 12.1V when we leave at 8:00am, what might I expect at the end of the day when we return after dark?
You should see about the same result that you would get from a 5 amp trickle charge.
6) Are two identical solar panels twice that of a single one? Or is there vudu in there somewhere?
I assume that is correct. Just like two batteries is twice one battery (hooked in parallel).
7) Can I just install one solar panel on the roof and wire it to my two 6V AGM batteries (assumed 12v-14v output) and be done? Or do I have to invest in other electronic controls? Is there any risk of over-charging the batteries or otherwise damage the motor home with an over-voltage condition?
You will need a small controller. Mine is super simple: two wires in from the panels, two wires out to the batteries. Amazon has lots of these and mine costs as I recall about $25.
8) I read an article with pictures that a very tiny shadow on a solar panel can reduce it's output by 90% or worse. Have you experienced that? I wonder if the "shadow effect" is applicable only to old solar technology.
Ron, I have NOT experienced that although I have also seen the reports. Maybe I am too dumb to know the difference but I think the partial shade deal is way overblown based on my simple experience.
I just wanted a simple way to recharge my batteries. I spent less than $550 onthree panels and the controller as I recall. Amazon sells a great variety of this stuff. One of my roof panels is a flex panel mounted directly to the roof with 3M tape (same as is used to attach exterior mirrors) and additionally secured with Dicor around the edges of the panel. No problems. The first one I put up was conventionally mounted with brackets and I drilled into the roof and found the cross members. I called Kermit and he told me how to find them.
As mentioned by other posters, 10 gauge wire is preferred but I just used 12 gauge landscape wire for fifty feet for the third panel that I moved around. It works. That is really all I care about. I can boondock for a week or more and my batteries are charged. I am, you see, a simpleton. Rube Goldburg was my daddy.

Paul