HA! But you see, You ain't superman.
If You had ALL the rear wheel jacked up, and chose to turn any one of the rear axle wheels, you are trying to rotate a horrific amount of mass.
The differential in any one axle is just that, 'A differential', DIVIDING the force (Turning input) EQUALLY, (In a straight (Driven) line, BUT, When you turn (simulating a corner) what ever the OUTSIDE wheel rotation is, the INSIDE wheel turns exactly less in proportion.
So, (Phew). YOU turn one wheel (ONE side jacked up) at 2 rpm, the other wheel will respond by rotating 2 rpm backwards.
IF you place the wheels on the floor, you can (!?) turn the prop shaft and BOTH wheels will rotate at the same output rotation. (No snow etc).
However if there is ice on the floor the wheel with grip will be stationary whilst the opposite wheel now spins on the 'ice' at TWICE the rotation (Input) Speed. (Little resistance).
IF clear of the ground it is not going to fight any drag at all, So the resultant torque will cause it to rotate backwards.
IF it was HELD LOCKED then the driving force would go equally to both wheels (If on the same terrain). And be torqued round equally in the same direction.
Come to a corner (And if you like) The torque is divided equally to allow the outside wheel to turn faster than the inside wheel, round the given radius of the corner. Thus avoiding scuff and wear. (One wheel effectively 'travels' further than the other).
6x6 is like LOCKED (Forward just by the mass etc) when jacked up.
So, You twiddle one way and the other wheel with no resistance will oblige by going opposite in direction. (Phew!).
And Even more 'Phew'! If you want me to tell you what's going on with 6x6 and or 8x8.