If I where you I would go to a tire shop and get a balance and alignment, then see how it goes from there in a YJ every bump is a religious experience for all of us, but you kinda get used to it. Also you should test you shocks the might be worn which is why you Jeep is going from side to side.

 

To start, find a buddy, have him/her turn the steering wheel wile you look at EVERYTHING under the front of the jeep. Also, wile your buddy is turning the wheel, give the steering shaft a look. You want to look for play in any of the moving parts.

The next thing to do would be to raise the front of the jeep so that the front tires are off of the ground. grab the tire at the 6 and 12-O-clock positions, and push/pull on the tire to see if it wiggles. If it dose move, watch the back side to see where it's moving, pay close attention to the ball joint and wheel bearing areas. This test can also be done by placing a pry bar/pipe under the tire, and lifting up on it(again, with the tires off of the ground).

It also might not hurt to check all of the spring, shackle, and track bar bushings on it as well. If the suspension is all stock, and the bushings are worn, there is a chance that the axle may be shifting side to side.

 

Right on muddy93!

We did exactly what you said with grabbing the steering wheel and we looked at everything. We found out the nut that tightened up the steering column to the power steering gear wasn't tight enough and there was play before the column would engage the power steering gear. At low speeds this wasn't noticeable but once you got moving, you could really feel it.

We tightened that up and it was night and day. There's other problems, but it's not unstable like it was before. I can confidently drive around now without fear of losing control

Thanks for your help!