Actually we would be assuming 25/25/25/25 load - that each corner bears an identical load in a state of rest - correct?
I also assume that 8" springs at 250lb/inch is in the uncompressed state which would have them sitting at 6" in the rest state?
Many assumptions have to be made about the dynamic friction between the tires and the road surface, the caster, the location of the CG in repect to the centerline of the wheels, etc.
Assuming the the vehicle was in a full 1 G turn and other necessary assumptions were in place I would hazard that essentially 100% of the load would be born by the outside suspension which would have the outside springs at 4" and the inside at 8".
No, it would probably not be capable of more than 1 G lateral accelleration without additional mechanical devices to contribute.