The clicking is typically a CV joint on the front axle. If one is bad, make sure and check the other. Also, The rapezza joint on the front drive shaft at the T-case are a weak spots.
The noise is probably all the play being taken up when you put it into gear. The click click click is the steel balls inside CV axle banging around in the trunnion and cage. see image. Does it have LSD in the front?
any moving component in the front suspension or steering can cause death wobble. unbalanced tires also. There is NO one particular part that causes it on every vehicle.
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