Apparently the PO of my YJ put in a front end that does not match. It is missing the track bar or something (per alignment shop) so it twists a bit when I hit the gas and then pulls to the right when I let off the gas and real bad when I hit the breaks. And I think he said the perches are wrong on it too. It is obviously a Jeep axel, but what the hell is it? Also, what does the stabilizer bars do if taken off? They are also off. Is it better for flexing? I have no idea.
Thanks
Looking at the picture, I can see it has a lift. Know what kind it is? looks like a 3-4" lift. The axles are stock. The picture of the ID Tag even tells me it has 4.11:1 gears which means it's the rear tag. You're only missing the track bar not not the drag-link. I would say that the pull you're experiencing is bump-steer. You have a lot of angle between the drag-link and the tie-rod. That combined with the lack of a track-bar and soft/old springs and you'll get bump-steer. When the suspension compresses or extends enough, it causes the distance between the drag-link ends to change (gets longer or shorter) and because of it's alignment, it's not able to cope so the wheels turn. If you hold the steering wheel softer, then you should see the steering wheel turn instead. On hard acceleration it should turn left and on hard braking it should turn right.
What the track-bar does is prevents the suspension from cycling too much. This is bad for off road but will help on road. You could put a track bar on BUT you need to make sure that it's parallel with the drag-link. If it isn't, it will bind with the drag link as it cycles. Since you have a lift you'll need a longer track-bar since the distance is greater then the stock bar can go. Most lift companies sell track bar extension mounts BUT you will need to use this with a dropped pitman arm since that will change the angle.
You could add a dropped pitman arm (and leave the track bar off) or flip your tie-rod so they are on top of the knuckles to help lessen the bump steer.
BTW: the front track bar mount has a small U shaped bracket inside. That should come out since it's not bolted in. Although, in the pictures it looks like it's being held in with rust/mud.