Critical theory was invented by atheists who were behavior scientists for the express purpose of subordinating God, country and family.
Critical theory was invented by Marxist philosophers and sociologists. I don't think there was a behavior scientist in the mix, but maybe I've forgotten someone. All of the famous theorists were in sociology and philosophy. The goals of critical theory are very directly connected with Marxism but only indirectly connected with atheism qua atheism (but see my response below). You could just go back and read the IEP article you linked before, or the SEP one I prefer. Either will confirm this.
So you agree that Marxists are atheists and that their agenda requires atheism but you don’t believe that militant atheists aren’t Marxists or dupes of Marxists when they carry out the anti-religion agenda of Marxists? Is that correct?
Because I am willing to concede that atheists who do not carry out the anti-religion of Marxists are not Marxists or dupes of Marxists.
Sure, I think a Marxist worldview is probably necessarily both atheistic and anti-religious. The former because of the insistence on materialism and the latter because it views religious institutions primarily as instruments of mystification serving bourgeois interests. The Communist Manifesto is pretty straightforward on this, and of course Marx's "opium of the masses" comment is famous.
I don't know exactly where you would set the bounds of "militant atheism" but it's clearly the case that many people we might classify as such are not Marxists. None of the most famous "new atheists" (e.g. Dennett, Harris, Hitchens, etc.) are Marxists, as far as I know. It seems like the mistake you are making is in thinking that if two groups of people share a common goal then they must either entirely share the same beliefs or that one group must be a dupe of the other. But that doesn't follow at all. To make an analogy, there are libertarian posters on this board with whom I share some views, for example opposition to excessive state power, or the war on drugs, or trends towards elements of a police state. But in other areas my views diverge sharply from theirs, e.g. progressive taxation and social policy. That fact that we have some overlapping aims and views does not make either of us dupes of the other.
Similarly, Marxists and "militant atheists" share an antipathy towards religion and some common goals about reducing the power of religious institutions. Some also share a belief in materialism, although the dialectical materialism of Marxism is sometimes a bit idiosyncratic. But otherwise members of these two groups often have very few other political views in common. Someone like Dennett is not attempting to foment a proletarian revolution.
And of course, as you concede, there are atheists who are not "militant atheists". From research I've seen on "the rise of the nones" and trends in religiosity I think it's very likely that the majority of self-identifying atheists are not a part of this group. Both this and the above considerations are why I've chided you for trying to conflate Marxism with atheism.