My first thought was motor mount(s), like the other gentleman said, engine tilt.

Seen that before, motor mounts broken causing accel. linkage problems.

Have somebody very carefully put a low slight load on engine.

"E" brake set, foot on brake, going from drive to reverse, let off accel. pedal when switching gears, slowly, while you stand at each side fender watch engine, with steering turned to problem side, see what happens.

You should only need to do that a couple of times to verify whether the mounts are ok or broken.

Just want to point out, be careful.

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1982 MBZ 300SD Turbo Diesel- just turned 200,000- just breaking her in