As I understand the "God of the Gaps" fallacy, it's summed up as:
We don't have an explanation for this phenomenon. The lack of explanation proves that God did it.
This same logic can be applied in other instances which don't involve God:
We don't know what that moving light in the sky is. It must be an alien spaceship.
Some people just seem naturally wiser than others. That, would be explained by them as having had rich experiences in previous lives, so this is a proof of reincarnation
Is there a name for this fallacious way of thinking? It is broader than "God of the Gaps", but still uses an otherwise unsolved question as proof of a contentious assertion.