I was thinking about Scrimgeour last night and thought I'd check out whether anyone else had picked up on the Lion like features mentioned within the book..
Does anyone think he might be a Gryffindor descendant? Does anyone think that the reason he was interested in what DD was up to because he might have the missing Gryffindor horcrux in his possession (and may/may not know it) or that he might also be going after these horcruxes? Or that he might provide Harry a bit more history on the Gryffindor history?
I think it will turn out that Scrim has a public face but also a very private and very shrewd face underneath that.
For Harry to trust him though he will have to come clean and gain his trust and respect.