I've accepted that they're not going to get rid of Johnny Depp, so here's what I propose as a compromise restoration for POTC:
First, they need to get rid of the Davey Jones / Blackbeard mist screen. It's just too silly and over-the-top for what should really be a much more subtle and eerie part of the ride.
Next, they need to restore all the original dialogue, with the exception of the Pooped Pirate. He can keep his treasure map, which is an improvement over his food addiction and fits in with the original dialogue of the interrogation scene, but the rest of the pirates need to stop their silly obsession with Jack Sparrow.
Finally, they can replace Barbossa with Ian McShane's Blackbeard, and have him re-record the original Blackbeard dialogue. Sure, it's not perfect, but I would find it an acceptable tie-in with the movies while still respecting the original ride.
I feel these steps would go a long way towards restoring the greatness of the ride without touching their precious (and expensive) Jack Sparrow.