Sounds like at least one front CV joint is bad. The rhythmic action is
what I'm basing the diagnosis on. You can do it yourself or have a shop
do it. Around here, reputable shops charge a flat $140-$180 for parts
and labor both.  I'd replace both due to the age of the Soob.

Odd 'jerking' feelings while tight maneuvering in parking lots for
instance, is often a symptom of 'torque bind'. Thsi can be due to
something as simple as an incorrectly sized tire (even mixing new with
old tires of the same model) OR center differential or wet-clutch pack
issues in an automatic transmission.

Carl

Almost certainly an INNER CV joint is binding. The effect is rather like out
of balance wheels but it stays after the wheels are balanced. You can tell
the faulty axle by the direction the car wants to drift or pull. Secondary
test is checking the rotational freeplay on the inner CV's. More than 1 mm
means the CV is worn out. The inner CV also has in-out  movement. If the
slide has any rough spots, replace the shaft.

Story#1: I had the rhythmic vibration (on an 89 Eagle Vista 4WD) and had the
garage swap it out. The mech swore there was no problem, but I insisted they
humor me (it was my money after all) and with the rebuilt part all the
vibration problems went away.

Story#2: Chap with a AWD Mitsu Eclipse tells me the front 2-piece axle
ripped the hanger bearing off the block, breaking two M12 bolts. His mech
replaced the M12s and wondered why it ripped off again. It takes a LOT of
force to break an 8.8 grade M12: the reason was the CV was binding solid
(under hard acceleration).

SD