When I'm driving at highway speeds and have to hit the brakes for traffic, like when someone cuts me off, it wobbles pretty bad, the steering wheel that is. I'll let go of the brake quick and re-apply the brakes and then it seems to be fine. Any ideas???
A warped rotor could vibrations. If you have worn suspension parts like TRE's, braking could also cause these parts to show their wear causing a wobble similar to the beginning stages of DW. My wife's TJ is just starting to do this.
Now, the fact that you can reapply the brakes and the wobble stops tells me something has worn out a bit. Start by checking your TRE's.
Tie Rod End. You'll have 4 you want to look at. Test by having someone quickly turn the wheel back and forth while you're underneath checking out the TRE's. You may need to place your hand on each one to feel for any looseness. While you're under there, note any other possible loose parts.
Sometimes they can be fairly easy and sometimes not. You have to remove a cotter pin and a castle nut for each TRE. Once these are removed, if the TRE itself is stubborn and 'stuck' in, a good whack with a hammer helps coax them out. Once out, removing them from the adjusting sleeves can be a pain in the butt. I ended up buying MOOG brand TRE's (all 4) and both adjusting sleeves. This made the job much easier.
Once removed and replaced, you'll need an alignment.
At 50-60 mph when I'm either speeding up to get on the highway or slowing down to get off the highway the wobble happens and my steering wheel wobbles pretty bad. My foot wasn't even on the gas or the brake when it was wobbling and it stopped happening as soon as I was at 45 mph. The last time I was at a mechanic they told me they heard "growling" in the front diff. and my cv boots have been torn for awhile on the front axles. I don't know if that's related but does anyone have any ideas?