It depends what you think "God" means. If "God" is just a general sort of word which means "destiny" or "fate" (and that's what people often mean when they say that something is in God's hands)...then everything is in God's hands in that sense and HAS to be, but that does not imply some sort of conscious intervention in human affairs on the part of any divinity or theos.

Palin, however, may have been deliberately invoking or implying a God who does intervene. It wouldn't surprise me if she was. Or...she may have just been angling for a few more votes.

I wouldn't place more importance on it than it deserves...which is very little.