I will say this just for the record, not that I think you overlooked anything: make sure it is on a level surface when you make the measurements of how uneven the car is sitting.
WIth that out of the way, most of the time, when a car is not sitting level, it is due to the springs sagging. While the torsion bars are more resistant to this, they are not necessarily immune to it. Coil springs and leaf springs (as used on the rear of our cars) are definitely prone to doing this. The driver's side always sags more than the passenger side, as it always has somebody in it, while the passenger side is unoccupied much of the time. It is also possible that there is some sort of suspension element that is broken or bent. A close inspection of the whole front end and rear leaf springs is in order. There were also some of the 1976 F body cars that had an issue with a K member bending due to the metal of the K member being too thin. You didn't specify the year of your car, so I just mention this for completeness. Shocks will not affect ride height; in our cars, they just dampen out the torsion bar or leaf springs (iei they just slow down the rate at which the wheels go up and down)
Also, our cars doe not use struts; they are shock absorbers all around. Struts are used in McPherson type front suspensions, where they actually make up art of the front suspension. Our cars will drive without shock absorbers, they will just bounce like crazy over the smallest road imperfections. On cars that use struts, the wheel won't even be in the right position until the strut is in place.