  In this paper, we study a broad class of McKean-Vlasov stochastic variational
inequalities (MVSVIs), where both the drift coefficient $b$ and the diffusion
coefficient $\sigma$ depend on time $t$, the state $X_t$ and its distribution
$\mu_t$. We establish the strong well-posedness, when $b$ is superlinear growth
and locally Lipschitz continuous, and $\sigma$ is locally H\"older continuous,
both with respect to $X_t$ and $\mu_t$. Additionally, we present the first
propagation of chaos result for MVSVIs.
