# A strong form of Mostow rigidity without geometrization?

Mostow rigidity theorem says that two closed hyperbolic manifolds with isomorphic fundamental groups are isometric.

Here is my question: suppose that $$M$$ and $$N$$ are two closed 3-manifolds such that $$M$$ and $$N$$ are homotopy equivalent and such that $$N$$ is hyperbolic. Is it possible to prove that $$M$$ and $$N$$ are homeomorphic (diffeomorphic) without using geometrization theorem?