" Galileo did not formulate his theories thinking that they were independent of what he knew from divine revelation."
Yes he did. He wrote them based on the physical evidence he amassed. He didn't think they went against his religious beliefs, but those religious beliefs did not enter into his theories.
His belief in a Creator was a precondition to his physical theories.Physics was confined to the discernment of secondary causes No different from that of those today which think of evolution as the manner by which God does his work of Creation. . So far as I know, no one at the time ascribed the movment of physical objects to "supernatural" causes. If you are talking about miracles, that is something else entirely. Unlike Dawkins, for instance, Galileo did not rule out them out. If you are taking about spirits, the only example I can think of is the more or less poetic notion that the heavenly spheres were moved by angels.