Of course the VC will still be in one big piece. Flip it around and look closely at it, there is a plastic ring that spits out of it when it goes bad, from the side facing the bellhousing. Even if you don't see that ring it could have disintegrated. Look for a thick dark oooze that may have come out of the one side of it.

Yes a badly messed up center diff "can" cause the wheels to lock in neutral as well, depending upon how it is damaged.

How did your tranny fluid look ? dark and silvery ?

Its not the motor, the problem amplifies itself when you put load on the tranny and drivetrain.