No, the internals aren't the same between the two. I know, I own them both and wrote the reviews on both of them. The gearbox shells themselves are different, with the components installed are different as well. They both use a reinforced gearbox shell, however the Snow Wolf is a different design with different reinforcements. The SOCOM Gear comes with ball bearings, vs the solid bushings in the Snow Wolf. Both use XYT gears, as do most ACM guns currently, but have different sector chips. Wiring on the SOCOM Gear is MUCH better than on the Snow Wolf. Pistons are different, as are piston heads. Motors are different, with the SOCOM Gear having much stronger magnets. Selector plates are different, as are air nozzles and cylinder heads.
So, no, they don't use the same internals, aside from them both using V2 gearboxes, everything else is different. That being said, if you're making your decision between a SOCOM Gear M82 and a Snow Wolf M82 based on internal components, you're doing it wrong. The SOCOM Gear is a work of art, made of steel, and is a 1 to 1 exact replica of the real Barrett, complete with licensing. The Snow Wolf is not to scale, made of various pot metals and alloys, and is overall not nearly as nice as the SOCOM Gear. It's still a good option for a budget Barrett, but comparing it to the SOCOM Gear is apples and oranges.