Check the front u joints, that could be the clunking, especially since you notice it on turns. That wont cause death wobble. Tires themselves wont account for death wobble either.
Check you ball joints, wheel bearings, tie rod ends, trac bar and mount, and control arm bushings. Sometimes shaking the wheel side to side with the tires off the ground wont give any results for loose parts. Have somebody in the jeep, KOEO (key on engine off) and have them shake the wheel side to side while you keep an eye on the tie rod ends and trac bar for movement. Another common area to look at is where the trac bar connects to the axle, the hole gets ovaled out causing movement and can also cause a clunking as well as death wobble.
Most likely something is loose, rarely will the alignment cause it by itself.
1996 Jeep Cherokee- Project-- Rusty's 8in long arm, SYE kit, Teraflex driveshaft, Cragar soft 8's 15x10 with 33x12.5 Firestone Destination MT's, Eaton Tru Trac in the front