I find "Christian atheists" absolutely the most horrible viewpoint anyone could have, honestly. It's one thing to believe there's a God or no God; it's another to somehow think church had a good influence on Western civilization and not a destructive one. It's even more annoying when Jewish and other people such as Ben Shapiro join the postmodern religion bandwagon. Either you believe in your God or not, and if you believe in your God, why do you actively urge other people to believe what you consider to be falsehoods? The article I posted below is basically everything wrong. I feel like I can accept "Jesusism" like Bob Dylan had and all sorts of personal beliefs people can't really help because you don't really choose what you believe, but turning that around and being an atheist who somehow thinks organized religion is beneficial... is perplexing.
This article is an example of everything wrong. Maybe I'll go pull up some articles criticizing "Christian atheism."
Meet the New New Atheists, Not Like the Old New Atheists | Evolution News
Additionally, Western Civilization was not always Christian, and not all members of it have been Christian, so that part of the argument is terrible. It just leads to people listening to Christian music to themselves and trying to convince themselves Christianity is great when they very self-consciously don't believe it because they believe it'd be good for them.