Your second image doesn't look too far out of the right range to me, however...some questions:
1 Are these new ring & pinion gears? If they are old gears getting them adjusted so they don't whine might not be possible. Sorry to be the bearer of bad news but that is the truth as I've learned it to be over the last 60 years. They get worn and they get happy. When you change them, they make noise.
2 How are you generating that pattern? By that I mean are you adding drag to imitate a load?
Please tell us more.
I added information that I should have put in my original post.
All the bearings are new. It took some time hunting them all down. The former pinion bearings could NOT be reused as they were chewed up. The ring and pinion gears are new from Jim Carter Truck Parts. They appear to be made in China.
I left the tire on and the drive line was hooked up. This provided some drag on the gears.