I have a slightly different answer. Depending on where you look, you might actually get different credit for AP Physics C exams than IB Physics.
Like at Pitt, say, which I am using just because I know it has a handy chart:
For IB Physics you can get credit for Physics 0110 with a 5, or both 110 and 111 with a 6 or 7. With 4/5 on AP Physics 1 & 2 you can get 110, with 5s you can get 110 and 111. But then for a 5 on Physics C Mechanics, you can get credit for 174, the first part of their calc-based Physics sequence (not for E&M, though). That is a recognition that Physics C, unlike Physics 1 & 2, is in fact calc-based. And consistent with that view, Pitt treats IB Physics like AP Physics 1 & 2, not Physics C.
OK, so what is apparently happening at MIT is that unlikely Pitt, they will not give you any extra credit for Physics C. However, it appears you might be able to place into a calc-based Mechanics class. See descriptions here:
https://catalog.mit.edu/subjects/8/
I am specifically looking at 8.012 versus 8.01:
Elementary mechanics, presented in greater depth than in 8.01. Newton’s laws, concepts of momentum, energy, angular momentum, rigid body motion, and non-inertial systems. Uses elementary calculus freely; concurrent registration in a math subject more advanced than 18.01 is recommended. In addition to covering the theoretical subject matter, students complete a small experimental project of their own design. First-year students admitted via AP or Math Diagnostic for Physics Placement results.
It sounds to me like maybe APs would be one route to placement (although I am not sure if that means Physics C, Calc AB or BC, or some combination). If you did IBs, maybe you could do that Math Diagnostic for Physics Placement.
Still, I am not at all sure taking Physics C would not at least be better preparation if you were interested in doing the 8.012 course instead of 8.01 (or skipping 8.01). Same deal potentially with 8.022 versus 8.02, the E&M courses.
Anyway, if you are really interested in MIT specifically, you might actually reach out to someone at MIT to ask this question.