I would never lift the car from the side to lift both wheels; even lifting just one produces unpleasant creaking. For that reason, when I remove a wheel that way, I quickly lower the car to a level stance until I'm ready to reinstall the wheel. And no, no middle side jacking point; only the ones next to each wheel.
Just lift the front and the back independently. I'd never put my car in 4 jack stands for safety reasons, but some folks do it. The most I do is one end on ramps (and wheels choked) and the other on jack stands.
Oh, and I always use the differential to lift the rear and zero issues, but the trick is to place the basket right at the middle, below the brace, not the fins. And I always put the car in either ramps or jack stands right away.