An alignment alone will not fix loose Jeep steering. Alignment sets the angles of your tires relative to the road, but if components like the track bar, tie rods, ball joints, or wheel bearings have worn play, there's nothing solid for the alignment to hold. The worn parts need to be replaced before the alignment.
A wheel alignment absolutely matters once those worn components are replaced. Incorrect caster, camber, or toe settings after a repair job can cause steering wander, pulling to one side, and can even make your Jeep more prone to death wobble at highway speeds. So the sequence is important: fix the worn parts first, then set the alignment correctly.
If you've been to a shop that adjusted your alignment and the steering still feels loose, it's worth having someone look at the actual hardware — track bar bushings, tie rod ends, drag link ends — for play. Ann Arbor roads see enough winter damage and potholes to wear front-end components faster than many drivers expect.
Hoover Street Auto Repair can check both the mechanical condition of your steering components and perform an alignment in one visit, so you're not paying twice or guessing at what needs to be done.