C.T.
I actually break my tailbone everytime I have a baby. I've experienced the shifting you remember but mine is in my tailbone, not my pelvis. Mine too caused by big babies. I never thought I would want another baby after the first one because it was such a horrible experience. My oldest is 15 years old, but I did decide to have 2 more babies, YEARS later. I now have one that is 2 and another who is 9 months. Both of them you could hear the tailbone break as I pushed them out. 9 months later it still feel bruised and tender. This time though I babied it from the moment I delivered and so I didn't have as much shifting. The doctor prescribed physical therapy with this one as well but I just couldn't manage the time so I didn't do it but it is an option.
With my first child, they had to pull him out with forecepts and my doctor said I either broke it or it's bruised really bad but there's nothing you can do about it. 12 years later, when we heard the crack/pop, the doctor was stunned. She had never heard of this happening before. She did go back to her collegues and talk about it. The 3rd baby they actually had offered the physical therapy as she really did her research and found a therapist who specialises in issues like this for women only. I probably would've done it but we had a horrible scare after the baby was born so he was my focus throughout my 4 month maternity leave. By the time I could've mentally focussed on myself, it was healed enough that I didn't have the shifting which was minimal this time around (although still quite painful), so I just abandoned the idea of therapy.
If you're considering another baby, don't let this stop you :) It does heal and it's worth it. There's could be an option of a c-section too and perhaps that's the best option if they know that your baby is on the large side.