Check your front transmission mount. It'* not much more that a black painted marshmallow from the factory. Most likely it'* allowing the motor to move much more than it should. Hence the rocking when you rev. You are probably lifting it up pretty well.
Speaking from experience when that front mount goes you'll lose A ton of control and firmness in handling at high speeds. So it'* something you should get checked out ASAP. Going 70+ mph & a heavy engine block moving around inside the car, can spell disaster.