Steering wheel, dash and shifter shakes on highway only when accelerating, if I let go of the gas pedale nothing shakes. Bol joints and tie rods, disks brakes, axels, tires all have been changed and balanced. I dont know what to change anymore... Help!

Usually a sign one of the front brake rotors is out of round. It could also be something wrong with the abs but I doubt it.

bad tire, gad wheel bearings , loose steering tie rod ball joints , wheel alignment
take it to a front end specialist for a full inspection

Give some more details of the problem.

you should keep all four tires on the ground !!!! LOL ! your rotors or brake pads are bad. do you feel it shake in the steering wheel ? Check these three items and im sure it will fix.......1) jack front car up and try to move front tires in all directions, does it feel loose at all? if yes check tie rod ends, upper and lower ball joints. 2) check brake pads for wear, heat from pads warp the rotors and cause the break pedal and steering to shake or vibrate. 3) If nothing can be found wrong with the tie rods or ball joints i recommend changing the rotors and brake pads, a pretty cheap fix.

Could be the tie rods or tie rod bushings, makes the wheels feel like it's wobbling in turns.

you are apply torque to the engine upon pushing on the gas pedal so the law of nature states the engine mount maybe broken

shakes?or shacks?Let's just say that you mean shake.If your brake pedal pulsates,replace the rotors.If your steering wheel shakes(low speed)broken belt in front tire.Jack up one tire enough to clear the ground,spin it.Spins nice,lower and jack up the other.Spin that one,if the belt is broke it'll be very noticable.While up in the air check the lug nuts,if they're loose it can make the steering shake too.If the shake is at highway speed,bad shocks or tie rods or ball joints or a combination of these.Jack up a front tire and try to move it(Key turned off to lock steering).If it moves top to bottom,ball joint.Side to side,tie rod.Doesn't move,shocks.The worst could be a bad hub bearing,but you'd hear it and you said nothing about any noise.

Could be tie rods,bearings, cv joint. or just need fluid in the power steering. I have even had a brake stick just enough to cause a vibration.

I would have that front end checked as soon as possible. It could be anything, ball joints, tie rod ends, cv joints, could be the rack and pinion steering. If any one of these things break, you will loose your steering.

what you describe may be castor wobble and is from incorrect wheel alignment
check the steering tie rod ball joints and other suspension items