I keep my hands in plain sight until the officer asks for paperwork, then I get it for him.
What do you think hes going to ask you for, one of your beers?
Its not that hard to have your paperwork handy. You know that they are going to ask for it anyway. If its in your wallet, its fast, one stop shopping.
And cops and traffic stops aside, to me, keeping your paperwork in the car itself is right up there with keeping your house coordinates in your GPS as "home". Not a real smart idea.