Yes, DC Comics does mention God in various storylines and mythologies.
Sure, DC Comics has incorporated mentions of God in certain arcs. The depictions can vary greatly depending on the specific comic and the creative team behind it.
No, 9/11 didn't feature directly in DC Comics.
No, X-Men has always been associated with Marvel Comics, not DC Comics.
Not that I know of. I haven't come across any mention of a bat dragon in DC Comics.
Definitely not. Spider-Man is a Marvel icon and has no connection to DC Comics. The character's storylines and adventures are confined to the Marvel universe.
Sure. For instance, Hercules is sometimes featured in DC Comics and can be classified as a demi-god. Also, there are other characters with similar attributes and powers that fall into this category.
Yes, God has been represented in various forms and storylines within DC Comics.
Not typically. DC Comics usually adheres to certain standards and doesn't show Cheetah naked.
Yes, they have collaborated on a few occasions. Usually, it's been for special crossover events or limited comic book series.
DC Comics has no claim over Hulk. Hulk has always been firmly within the Marvel Comics universe, with no crossover or ownership by DC.
No, DC has never owned Marvel Comics. They are two separate and distinct comic book publishers.