I will definitely try that. The theme being used is twentytwelve. It doesn’t make sense that a default theme would use a font that conflicted with the admin bar, but it might explain why the admin bar is fine on other sites.
The first one’s the top menu bar of the backend. When I click on View Live Site, the site’s shown with the top menu bar, but the top bar’s messed up while viewing the site. Does that make sense? Sorry to be so confusing.