Front end wobble.

Can anybody lead me in the right direction with this new front end wobble I am experiencing? Underneath the car everything feels solid. I can't find any broken or lose parts. The front wheels wobble in what almost feels like an uncontrollable fashion. Its fairly violent. It can be felt through car and seen in the steering wheel. It can also be felt when applying the brakes. The wheels wobble left to right with no bouncing. After I drive the car for a bit it ends up going back to normal. All of this usually happens around 80 miles per hour only after a WOT pull. If I accelerate at a moderate pace this does not happen. I thought this may have been caused by the exhaust hitting/rubbing on the driveshaft, but that is not likely. The parts on the K frame are fairly new. The alignment isn't off and the wheels and tires have been balanced, but I am going to have it done again. I just don't know what to do other go through the entire front end replacing stuff. Something must be worn out.