I'm a season pass holder so quite familiar. I think Terminator 4D should be okay. There's just one part where the seats raise up a few inches and then drop suddenly down -- definitely no more jarring than a sudden stop at a red light. It'd be a shame to miss the entire thing for just that part. Maybe you could ask to be seated in the handicapped area or to be warned when those parts are coming by a team member? If you don't feel comfortable, though, don't bother.
I'd just tell your family though because every single other ride -- Simpsons, Mummy, Jurassic, etc etc is off limits.
Hope you like shows -- there's Waterworld, the animal one (which is just ok), and some kiddie ones.