  We establish stability and pathwise uniqueness of solutions to Wiener noise
driven McKean-Vlasov equations with random non-Lipschitz continuous
coefficients. In the deterministic case, we also obtain the existence of unique
strong solutions. By using our approach, which is based on an extension of the
Yamada-Watanabe ansatz to the multidimensional setting and which does not rely
on the construction of Lyapunov functions, we prove first moment and pathwise
exponential stability. Furthermore, Lyapunov exponents are computed explicitly.
