I kind of agree with the DUmmies on this one. Maybe if the GOP adopted a mascot that didn't freak out at the sight of a mouse the elected Republicans would not freak out at the sight of bad press.
A phoenix might be a good one. Maybe a she-wolf like Rome had. Bears seem a bit solitary to be good politicians. Oh, a dragon would be a good one. Dragons are wise and ancient and there is some saying about matching wits with a dragon. And since we appear to be going up against China, it might be good to have a dragon on our side.