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Next, is it bad to have the end of the axle against the thrust block? It seems if it has not button, that is where it lives. ya? no?
No it's not bad.
This part of the differential only moves when the car is turning. The rest of the time it is rotating at the same speed as the axles. Gear-oil is sufficient to more or less prevent wear.
In fact, the Thrust Block has more surface area than the Thrust Buttons do, by a bunch.