I’m curious if there’s a name to the belief I have. I wouldn’t exactly call it atheist, though i generally lean that way, but I wouldn’t call it non-theist. The thing is, I just plain don’t care if God exists or not. They could, or they couldn’t, it really has no bearing on how I live my life. For that reason along I think I go in the atheist camp, but I always thought that was used to describe people who don’t think he exists.
Ignosticism or igtheism is the idea that the question of the existence of God is meaningless because the word “God” has no coherent and unambiguous definition.
Also see theological noncognitivism.