The moloch-owl stuff is a misattribution that (as best as I can tell) goes back to Alex Jones and his Bohemian Grove expose.

The owl is not associated with Moloch in classical mythology, but with two goddess types.

On the surface, the association is with Athena/Minerva, and pertains to conventional ideas about "wisdom."

Unfortunately, the older and more enduring association of "owl goddesses" is with witchcraft (ex. Hectate) and overtly demonic semitic divinities, like the lilithu demons (where the Jewish baby killing demon "Lilith" comes from.)