I think of the current regime in China as more an authoritarian single party regime. We have tolerated or been allied with authoritarian single party regimes in earlier decades such as Taiwan under the KMT, Japan under the early LDP, and South Korea under Rhee.

China places a higher priority on enforcing social harmony than the US, but China has a history where there have been multiple periods of severe social disturbance causing 10s of millions of deaths, such as the Taiping Rebellion. In actual practice most people have quite a lot of freedom on most subjects most of the time since, "Heaven is high, and the Emperor is far away."