the difference between ideological thinking and X thinking is that ideological thinking sees everyone and everything and classes as {me, not-me} and distrusts all not-me
whereas X thinking asks "how can I integrate this?"
In principle, GameB, metamodernism, Integral Yellow/Teal, etc, are non-ideological.
But it's entirely possible, and in fact the default in our current era, to get ideological about being non-ideological.
This is both an interpersonal phenomenon as well as an internal psychological one. One's apparent inner ideologues get sent to the gulag—err, shadow.
It's natural to want to know what common ground there is for trusting each other. The issue is the binary classification into {self, other}.
To be clear, I'm not talking about people here, but about the meme of the ideology itself. An ideological meme recognizes itself in other people and attempts to colonize them if not already there.
Also to be clear, there are memes that will fuck you up, and you're wise to do things to avoid that.