Most people confuse 'Communists' and 'Jews'.  Part of it is deliberate (if unconscious) in order to avoid the anti-semite label which terrifies most normies to the core.  The other part is that there is, historically, so much Jewish influence in Communism that it's a fairly easy mistake to make.

Communist governments often do influence society by mass migrations and genocides, but that is common for ALL totalitarian forms of government.  It appeals especially to those who are enamored with central planning (e.g., most who call themselves 'socialist' and 'librals' these days) and those who are chronically paranoid about losing power (e.g., nearly every government with one very notable exception in the early days of the United States and shortly before.)

The so-called 'Muslim invasion' in Europe and the migrations into North America are nearly entirely driven by a pretty well known 'utopian' vision associated with Jewish people who tend toward the 'liberal' side and a parallel idea prevalent among the Talmudic folks from who's literature both sides basic belief's can be traced.

The general idea is a pure 'chosen people' race ruling over a mass of 'the nations' (mixed race light-browns).  (The more secular 'liberal' crowd focuses on 'ideological purity' where the more conservative Talmudic folks go for the ethnically pure 'descendants of David' line.)  They plan to 'bring peace', and seem to genuinely believe that only they can do it.

But before they can 'bring peace' the existing powers must be toppled.  Hence the immigration goings-on.